Existence of bounded solutions of integral boundary value problems for singular differential equations on whole lines

DOI10.1142/S0129167X14500785zbMath1307.34040OpenAlexW2050911649MaRDI QIDQ2925306

Shengping Chen, Yuji Liu

Publication date: 21 October 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x14500785

zbMATH Keywords

second-order differential equationbounded solutionintegral type boundary value problemLeray-Schauder-type fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (1)

Heteroclinic and homoclinic solutions for nonlinear second-order coupled systems with \(\phi\)-Laplacians

Cites Work

• On the solvability of a boundary value problem on the real line
• Heteroclinic solutions of boundary value problems on the real line involving singular \(\Phi \)-Laplacian operators
• On the structure of fixed point sets of compact maps in \(B_ 0\) spaces with applications to integral and differential equations in unbounded domain
• Non-autonomous boundary value problems on the real line
• A cohomological index of Conley type for multi-valued admissible flows
• Heteroclinic connections for fully non-linear non-autonomous second-order differential equations
• Existence and asymptotic behavior of proper solutions of a class of second-order nonlinear differential equations
• Boundary value problems on infinite intervals
• SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR SINGULAR QUASI-LAPLACIAN DIFFERENTIAL EQUATIONS ON THE WHOLE LINE
• An application of A-mapping theory to boundary value problems for ordinary differential equations

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