A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions
暂无分享,去创建一个
[1] J. Jachimavičienė,et al. On the stability of explicit finite difference schemes for a pseudoparabolic equation with nonlocal conditions , 2014 .
[2] R. Ma,et al. A Survey On Nonlocal Boundary Value Problems , 2007 .
[4] S. Smirnov. On Some Spectral Properties of Third Order Nonlinear Boundary Value Problems , 2012 .
[5] A. Štikonas,et al. Generalized Green’s functions for the second-order discrete problems with nonlocal conditions , 2014 .
[6] Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions , 2012 .
[7] Aleksei Vladimirovich Gulin,et al. Stability of the Two-parameter Set of Nonlocal Difference Schemes , 2009, Comput. Methods Appl. Math..
[8] M. Sapagovas. The Eigenvalues of Some Problems with a Nonlocal Condition , 2002 .
[9] J. Henderson,et al. Smoothness of solutions with respect to multi-strip integral boundary conditions for second order ordinary differential equations , 2014 .
[10] I. G. Mamedov. Non-local combined problem , 2013, 1302.3151.
[11] M. Sapagovas. Difference scheme for two-dimensional elliptic problems with an integral condition , 1983 .
[12] Tadeusz Jankowski,et al. Nonnegative solutions to nonlocal boundary value problems for systems of second-order differential equations dependent on the first-order derivatives , 2013 .
[13] Ž. Jesevičiūtė,et al. On The Stability Of Finite-Difference Schemes For Parabolic Equations Subject To Integral Conditions With Applications To Thermoelasticity , 2008 .
[14] J. Webb,et al. Positive solutions of nonlocal boundary value problems involving integral conditions , 2008 .
[15] R. C. Brown. Duality theory forN-th order differential operators under stieltjes boundary ponditions. II: Nonsmooth coefficients and nonsingular measures , 1975 .
[16] Hao Xu,et al. Discrete Green's functions and random walks on graphs , 2013, J. Comb. Theory, Ser. A.
[17] Gennaro Infante,et al. Eigenvalues and positive solutions of odes involving integral boundary conditions , 2005 .
[18] M. Sapagovas,et al. On iterative methods for some elliptic equations with nonlocal conditions , 2014 .
[19] Johnny Henderson,et al. Existence and multiplicity for positive solutions of a multi-point boundary value problem , 2012, Appl. Math. Comput..
[20] Zhanbing Bai,et al. Positive solutions of some nonlocal fourth-order boundary value problem , 2010, Appl. Math. Comput..
[21] Qiaozhen Ma. Existence of positive solutions for the symmetry three-point boundary-value problem. , 2007 .
[22] Mifodijus Sapagovas,et al. Computational Experiment for Stability Analysis of Difference Schemes with Nonlocal Conditions , 2013, Informatica.
[23] Ruyun Ma. Nonlinear periodic boundary value problems with sign-changing Greens function , 2011 .
[24] Bilal Chanane. Computing the eigenvalues of a class of nonlocal Sturm-Liouville problems , 2009, Math. Comput. Model..
[25] GREEN'S FUNCTIONS FOR BOUNDARY-VALUE PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS , 2011 .
[26] Daniel Franco,et al. Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions , 2008, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[27] Raimondas Čiegis,et al. On Construction and Analysis of Finite Difference Schemes for Pseudoparabolic Problems with Nonlocal Boundary Conditions , 2014 .
[29] Johnny Henderson,et al. POSITIVE SOLUTIONS FOR SINGULAR SYSTEMS OF HIGHER-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS , 2013 .
[30] Yonghong Wu,et al. On positive solutions of an m-point nonhomogeneous singular boundary value problem , 2010 .
[31] L. S. Pul’kina. A nonlocal problem for a hyperbolic equation with integral conditions of the 1st kind with time-dependent kernels , 2012 .
[32] Johnny Henderson,et al. Positive solutions for a system of second-order multi-point boundary value problems , 2012, Appl. Math. Comput..
[33] On positive solutions for nonhomogeneous m-point boundary value problems with two parameters , 2012 .
[34] Allaberen Ashyralyev,et al. On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition , 2014, J. Frankl. Inst..
[35] Raimondas Čiegis,et al. Numerical Solution of Parabolic Problems with Nonlocal Boundary Conditions , 2010 .
[36] A LEAST SQUARES SOLUTION TO LINEAR BOUNDARY VALUE PROBLEMS WITH IMPULSES , 2013 .
[37] S. Rutkauskas. Dirichlet type problem for the system of elliptic equations, which order degenerate at a line , 2014 .
[38] Ruyun Ma,et al. Global structure of positive solutions for nonlocal boundary value problems involving integral conditions , 2009 .
[39] M. Sapagovas. Difference method of increased order of accuracy for the Poisson equation with nonlocal conditions , 2008 .
[40] Existence of solutions for second-order three-point integral boundary value problems at resonance , 2013 .
[41] Yonghong Wu,et al. Second-order nonlinear singular Sturm-Liouville problems with integral boundary conditions , 2009, Appl. Math. Comput..
[42] L. Serbina. The solution of an initial-boundary value problem of the filtration theory with nonlocal boundary condition , 2014 .
[43] Weigao Ge,et al. Symmetric positive solutions of boundary value problems with integral boundary conditions , 2012, Appl. Math. Comput..
[44] William Alan Day,et al. Extensions of a property of the heat equation to linear thermoelasticity and other theories , 1982 .
[45] J. Webb,et al. Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type , 2006 .
[46] E. Karulina. Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions , 2011 .
[47] A. Štikonas. The Sturm-Liouville problem with a nonlocal boundary condition , 2007 .
[48] R. Ciupaila,et al. Numerical solution of nonlinear elliptic equation with nonlocal condition , 2013 .
[49] M. Dehghan. A computational study of the one‐dimensional parabolic equation subject to nonclassical boundary specifications , 2006 .
[50] Stationary Problems with Two Additional Conditions and Formulae for Green's Functions , 2009 .
[51] Z. Weiguo,et al. Monotone and convex positive solutions for fourth-order multi-point boundary value problems , 2011 .
[52] John Michael Rassias,et al. Boundary-Value Problems with Non-Local Initial Condition for Parabolic Equations with Parameter , 2009 .
[53] Sanyang Liu,et al. Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions , 2014 .
[54] Yonghong Wu,et al. Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces , 2011, Comput. Math. Appl..
[55] Ruyun Ma,et al. EXISTENCE OF POSITIVE SOLUTIONS FOR SUPERLINEAR SEMIPOSITONE $m$-POINT BOUNDARY-VALUE PROBLEMS , 2003, Proceedings of the Edinburgh Mathematical Society.
[56] Multiplicity Results Using Bifurcation Techniques for a Class of Fourth-Order -Point Boundary Value Problems , 2009 .
[57] A. Štikonas. Investigation of Characteristic Curve for Sturm–Liouville Problem with Nonlocal Boundary Conditions on Torus , 2011 .
[58] G. Infante,et al. Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs , 2014, 1403.1092.
[59] S. Smirnov. Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign , 2014 .
[60] Linear differential equation with additional conditions and formulae for green's function , 2011 .
[61] Numerical Method for Solving Wave Equation with Non Local Boundary Conditions , 2013 .
[62] R. Precup,et al. Existence results for systems with coupled nonlocal initial conditions , 2014 .
[63] W. McCandless. Existence Theorems for Nonlinear Boundary Value Problems , 1974, Canadian Journal of Mathematics.
[64] Weigao Ge,et al. Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem , 2010, Appl. Math. Comput..
[65] Xingsheng Deng,et al. Moving Surface Spline Interpolation Based on Green’s Function , 2011 .
[66] Feliksas Ivanauskas,et al. Numerical spectral analysis of a difference operator with non-local boundary conditions , 2012, Appl. Math. Comput..
[67] Green’s functions for discrete mTH-order problems* , 2012 .
[68] Gunnar Ekolin,et al. Finite difference methods for a nonlocal boundary value problem for the heat equation , 1991 .
[69] L. I. Kamynin. A boundary value problem in the theory of heat conduction with a nonclassical boundary condition , 1964 .
[70] J. Jachimavičienė,et al. The Stability of Finite-Difference Schemes for a Pseudoparabolic Equation with Nonlocal Conditions , 2009 .
[71] R. Beals. Nonlocal elliptic boundary value problems , 1964 .
[72] G. Kairyte,et al. Alternating direction method for a two‐dimensional parabolic equation with a nonlocal boundary condition , 2007 .
[73] B. A. Wade,et al. On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions , 2012 .
[74] EIGENVALUES AND SYMMETRIC POSITIVE SOLUTIONS FOR A THREE-POINT BOUNDARY-VALUE PROBLEM , 2005 .
[75] Awni M. Abu-Saman. Solution of Linearly-dependent equations by Generalized Inverse of a Matrix , 2012 .
[76] Lishan Liu,et al. Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions , 2010 .
[77] D. O’Regan,et al. Positive solutions for singular three-point boundary-value problems. , 2008 .
[78] Olga Štikonienė,et al. A Monotonic Finite-Difference Scheme for a Parabolic Problem with Nonlocal Conditions , 2002 .
[79] L. S. Pul’kina. Boundary-value problems for a hyperbolic equation with nonlocal conditions of the I and II kind , 2012 .
[80] X. Mary. On generalized inverses and Green's relations , 2009, 0903.1785.
[81] R. Brown,et al. Generalized Green's functions and generalized inverses for linear differential systems with Stieltjes boundary conditions , 1974 .
[82] Baruch Cahlon,et al. Stepwise stability for the heat equation with a nonlocal constraint , 1995 .
[83] Feliksas Ivanauskas,et al. Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions , 2009, Appl. Math. Comput..
[84] J. R. Cannon,et al. The solution of the heat equation subject to the specification of energy , 1963 .
[85] M. Sapagovas. On the stability of a finite-difference scheme for nonlocal parabolic boundary-value problems , 2008 .
[86] M. El-shahed,et al. MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR FRACTIONAL EIGENVALUE PROBLEM WITH NONLOCAL CONDITIONS , 2012 .
[87] D. Yan. On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition , 2013 .
[88] Yuan-Ming Wang,et al. Nonlinear fourth-order elliptic equations with nonlocal boundary conditions , 2010 .
[89] Zengqin Zhao,et al. Exact solutions of a class of second-order nonlocal boundary value problems and applications , 2009, Appl. Math. Comput..
[90] Raimondas Čiegis,et al. Stationary problems with nonlocal boundary conditions , 2001 .
[91] J. Webb,et al. POSITIVE SOLUTIONS OF SOME HIGHER ORDER NONLOCAL BOUNDARY VALUE PROBLEMS , 2009 .
[92] Zhi-Li Zhang,et al. Digraph Laplacian and the Degree of Asymmetry , 2012, Internet Math..
[93] G. Infante,et al. Positive solutions of some nonlocal boundary value problems , 2003 .
[94] Bo Yang,et al. POSITIVE SOLUTIONS OF A THIRD-ORDER THREE-POINT BOUNDARY-VALUE PROBLEM , 2008 .
[95] J. Locker. On constructing least squares solutions to two-point boundary value problems , 1975 .
[96] J. Webb. Remarks on positive solutions of some three point boundary value problems , 2003 .
[97] A. Yu. Mokin. Stability of a family of difference schemes for the Samarskii-Ionkin problem with variable coefficient , 2014 .
[98] B. Thompson,et al. Global behavior of positive solutions of nonlinear three-point boundary value problems , 2005 .
[99] M. Sapagovas,et al. Numerical Analysis of the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Conditions , 2009 .
[100] S. Pečiulytė,et al. Sturm‐Liouville problem for stationary differential operator with nonlocal integral boundary condition , 2010 .
[102] J. Martín-Vaquero,et al. Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle , 2014 .
[103] Douglas R. Anderson,et al. Green's function for a third-order generalized right focal problem , 2003 .
[104] J. Cannon,et al. A Galerkin procedure for diffusion equations with boundary integral conditions , 1990 .
[105] On Solvability of the Damped Fučík Type Problem with Integral Condition , 2014 .
[106] Jing Niu,et al. Approximate Solution of Nonlinear Multi-Point Boundary Value Problem on the Half-Line , 2012 .
[107] S. Ntouyas. Chapter 6 Nonlocal Initial and Boundary Value Problems: A Survey , 2006 .
[108] M. Sapagovas,et al. Alternating-direction method for a mildly nonlinear elliptic equation with nonlocal integral conditions , 2011 .
[109] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .
[110] A. Gulin,et al. On a family of nonlocal difference schemes , 2009 .
[111] G. Infante. EIGENVALUES OF SOME NON-LOCAL BOUNDARY-VALUE PROBLEMS , 2003, Proceedings of the Edinburgh Mathematical Society.
[112] A. Samarskii. The Theory of Difference Schemes , 2001 .
[113] J. Webb,et al. Three Point Boundary Value Problems with Solutions that Change Sign , 2003 .
[114] The Regions of Solvability for Some Three Point Problem , 2013 .
[115] Lingju Kong,et al. Higher order boundary value problems with nonhomogeneous boundary conditions , 2010 .
[116] A. Matheson,et al. A numerical procedure for diffusion subject to the specification of mass , 1993 .
[118] The generalized Green’s function for an th order linear differential operator , 1977 .
[119] M. Sapagovas. On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions , 2012 .
[120] Fei Yang,et al. Positive Solutions for Third-Order Boundary-Value Problems with the Integral Boundary Conditions and Dependence on the First-Order Derivatives , 2013, J. Appl. Math..
[121] J. Webb,et al. Semi-positone nonlocal boundary value problems of arbitrary order , 2009 .
[122] Alternating direction method for two-dimensional parabolic equation with nonlocal integral condition , 2012 .
[123] A. Štikonas,et al. Characteristic functions for sturm—liouville problems with nonlocal boundary conditions , 2009 .
[124] T. Jankowski. Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions , 2012 .
[125] INVERSE EIGENVALUE PROBLEMS FOR NONLOCAL STURM-LIOUVILLE OPERATORS , 2012 .
[126] W. M. Whyburn. Differential equations with general boundary conditions , 1942 .
[127] Ž. Jesevičiūtė,et al. On the Eigenvalue Problem for One-Dimensional Differential Operator with Nonlocal Integral Condition , 2004 .
[128] Alexei V. Goolin,et al. Difference Schemes with Nonlocal Boundary Conditions , 2001 .
[129] W. A. Day. A decreasing property of solutions of parabolic equations with applications to thermoelasticity , 1983 .
[130] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .