Results for Twin Singular Nonlinear Problems with Damping Term

By using the functional type cone expansion and compression fixed-point theorem in cones, some new and general results on the existence of positive solution for twin singular boundary value problems with damping term are obtained. An example is given to illustrate our results.

[1]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[2]  R. Leggett,et al.  Multiple positive fixed points of nonlinear operators on ordered Banach spaces , 1979 .

[3]  Donal O'Regan,et al.  Solvability of singular second order m-point boundary value problems , 2005 .

[4]  C. P. Gupta,et al.  Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation , 1992 .

[5]  Hidekazu Asakawa On nonresonant singular two-point boundary value problems , 2001 .

[6]  P. Habets,et al.  Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results , 1996 .

[7]  N. Anderson,et al.  Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics , 1985 .

[8]  Yong Zhang Positive Solutions of Singular Sublinear Emden-Fowler Boundary Value Problems , 1994 .

[9]  J. Mawhin Topological degree methods in nonlinear boundary value problems , 1979 .

[10]  Sotiris K. Ntouyas,et al.  On an m -point boundary-value problem for second-order ordinary differential equations , 1994 .

[11]  Chaitan P. Gupta,et al.  Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator , 1998 .

[12]  Ravi P. Agarwal,et al.  Singular Differential and Integral Equations with Applications , 2003 .

[13]  A. Callegari,et al.  A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids , 1980 .

[14]  Qingliu Yao Existence and iteration of n symmetric positive solutions for a singular two-point boundary value problem , 2004 .

[15]  Douglas R. Anderson,et al.  Fixed Point Theorem of Cone Expansion and Compression of Functional Type , 2002 .

[16]  L. A. Peletier,et al.  Stabilization of solutions of a degenerate nonlinear diffusion problem , 1982 .

[17]  Donal O'Regan,et al.  Theory of singular boundary value problems , 1994 .