Lyapunov-Type Inequalities for Difference Equations

[1]  Qi-Ming Zhang,et al.  Lyapunov-type inequalities for even order difference equations , 2012, Appl. Math. Lett..

[2]  Qi-Ming Zhang,et al.  Lyapunov-Type Inequalities for the Quasilinear Difference Systems , 2012 .

[3]  Xiaofei He,et al.  Lower bounds for generalized eigenvalues of the quasilinear systems , 2012 .

[4]  Qi-Ming Zhang,et al.  Lyapunov inequalities and stability for discrete linear Hamiltonian systems , 2011, Appl. Math. Comput..

[5]  Xiaofei He,et al.  A discrete analogue of Lyapunov-type inequalities for nonlinear difference systems , 2011, Comput. Math. Appl..

[6]  Devrim Çakmak,et al.  Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p1,p2,…,pn)-Laplacian , 2010 .

[7]  Aydin Tiryaki,et al.  On Lyapunov-type inequality for quasilinear systems , 2010, Appl. Math. Comput..

[8]  Wing-Sum Cheung,et al.  On Lyapunov-Type Inequalities for Two-Dimensional Nonlinear Partial Systems , 2010 .

[9]  Xiaoping Wang,et al.  Stability criteria for linear periodic Hamiltonian systems , 2010 .

[10]  Aydin Tiryaki,et al.  A discrete analogue of Lyapunov-type inequalities for nonlinear systems , 2008, Comput. Math. Appl..

[11]  Devrim Çakmak,et al.  Lyapunov-type inequalities for nonlinear systems , 2007 .

[12]  Juan Pablo Pinasco,et al.  Estimates for eigenvalues of quasilinear elliptic systems , 2006 .

[13]  Zhan Zhou,et al.  Lyapunov inequality for linear Hamiltonian systems on time scales , 2005 .

[14]  Yi Wang,et al.  Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions ✩ , 2005 .

[15]  Ravi P. Agarwal,et al.  Discrete Oscillation Theory , 2005 .

[16]  Zhimin He,et al.  Existence of two solutions of m-point boundary value problem for second order dynamic equations on time scales , 2004 .

[17]  Ravi P. Agarwal,et al.  Lyapunov and Wirtinger inequalities , 2004, Appl. Math. Lett..

[18]  Juan Pablo Pinasco Lower bounds for eigenvalues of the one-dimensional $p$-Laplacian , 2004 .

[19]  Billur Kaymakçalan,et al.  Lyapunov inequalities for discrete linear Hamiltonian systems , 2003 .

[20]  Billur Kaymakçalan,et al.  On a disconjugacy criterion for second order dynamic equations on time scales , 2002 .

[21]  Martin Bohner,et al.  Lyapunov inequalities for time scales , 2002 .

[22]  G. Guseinov,et al.  On Lyapunov inequality in stability theory for Hill's equation on time scales , 2000 .

[23]  Discrete Linear Hamiltonian Systems: A Survey , 1999 .

[24]  D. Hinton,et al.  A Liapunov Inequality for Linear Hamiltonian Systems , 1998 .

[25]  Martin Bohner,et al.  Linear Hamiltonian Difference Systems: Disconjugacy and Jacobi-Type Conditions , 1996 .

[26]  B. G. Pachpatte,et al.  On Lyapunov-Type Inequalities for Certain Higher Order Differential Equations , 1995 .

[27]  Takaŝi Kusano,et al.  On a class of second order quasilinear ordinary differential equations , 1995 .

[28]  L. Erbe,et al.  Disconjugacy for linear Hamiltonian difference systems , 1992 .

[29]  S. Cheng,et al.  Discrete Lyapunov inequality conditions for partial difference equations , 1990 .

[30]  A Sharp Condition for the Ground State of Difference Equation , 1989 .

[31]  T. Lu,et al.  Convex regular domains of tridiagonal matrices , 1986 .

[32]  S. Cheng,et al.  A discrete analogue of the inequality of Lyapunov , 1983 .

[33]  M. G. Krein,et al.  The Basic Propositions of the Theory of λ-Zones of Stability of a Canonical System of Linear Differential Equations with Periodic Coefficients , 1983 .

[34]  S. Cheng,et al.  Convexity of nodes of discrete Sturm-Liouville functions , 1982 .

[35]  Man Kam Kwong,et al.  On Lyapunov's inequality for disfocality , 1981 .

[36]  Philip Hartman,et al.  Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity , 1978 .

[37]  V. A. I︠A︡kubovich,et al.  Linear differential equations with periodic coefficients , 1975 .

[38]  W. T. Patula,et al.  On the distance between zeroes , 1975 .

[39]  Stanley B. Eliason,et al.  Lyapunov Type Inequalities for Certain Second Order Functional Differential Equations , 1974 .

[40]  William T. Reid A matrix Liapunov inequality , 1970 .

[41]  Stanley B. Eliason,et al.  A Lyapunov Inequality for a Certain Second Order Non‐Linear Differential Equation , 1970 .

[42]  H. Weinberger,et al.  Maximum principles in differential equations , 1967 .

[43]  William T. Reid A matrix equation related to a non-oscillation criterion and Liapunov stability , 1965 .

[44]  F. V. Atkinson,et al.  Discrete and Continuous Boundary Problems , 1964 .

[45]  Harry Hochstadt,et al.  A new proof of a stability estimate of Lyapunov , 1963 .

[46]  R. J. Duffin,et al.  Discrete potential theory , 1953 .

[47]  H. A. Heilbronn On discrete harmonic functions , 1949 .

[48]  A. Liapounoff,et al.  Probleme general de la stabilite du mouvement (AM-17) , 1948 .

[49]  W. Mccrea,et al.  XXII.—Random Paths in Two and Three Dimensions. , 1940 .

[50]  Nets and the Dirichlet Problem , 1923 .