Positive solutions of M-point boundary value problem for second-order dynamic equations on time scales†

DOI10.1080/10236190701871968zbMath1149.34014OpenAlexW2018030583MaRDI QIDQ3518589

Xiaojie Lin, Zeng-Ji Du

Publication date: 8 August 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701871968

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Multiple positive solutions to multipoint boundary value problem for a system of second-order nonlinear semipositone differential equations on time scales, Multiple positive solutions of a second order nonlinear semipositone \(m\)-point boundary value problem on time scales, Existence of solutions for a class of fourth-order multipoint boundary-value problems on time scales, The existence and asymptotic estimates of solutions for a third-order nonlinear singularly perturbed boundary value problem, Solutions of second-order \(m\)-point boundary value problems for impulsive dynamic equations on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales
• Double positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales
• Existence of solutions for a class of third-order nonlinear boundary value problems
• On Green's functions and positive solutions for boundary value problems on time scales
• Triple solutions for second-order three-point boundary value problems
• On a third-order multi-point boundary value problem at resonance
• Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
• Existence of solutions for third-order boundary value problems on a time scale
• Multiplicity results for a three-point boundary value problem at resonance.
• Positive solutions for second-order \(m\)-point boundary value problems
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Existence of at least three solutions of a second-order three-point boundary value problem
• Singular perturbations for third-order nonlinear multi-point boundary value problem
• Solvability of three point boundary value problems at resonance