Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions

DOI10.1016/J.NA.2004.12.026zbMath1224.34291OpenAlexW1995369530MaRDI QIDQ999582

Dolores R. Vivero, Alberto Cabada

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.12.026

zbMATH Keywords

lower and upper solutionsnonlinear boundary value problemsdynamic equations on time scales

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Dynamic equations on time scales or measure chains (34N05)

Related Items (8)

Nonlinear functional boundary value problems for conformable fractional dynamic equations on time scales ⋮ Positive solutions to nonlinear first-order nonlocal BVPs with parameter on time scales ⋮ Existence of solutions for first-order multi-point problems with changing-sign nonlinearity ⋮ First-order boundary value problem with nonlinear boundary condition on time scales ⋮ Unnamed Item ⋮ Existence and uniqueness results for nonlinear first-order three-point boundary value problems on time scales ⋮ Existence results for dynamic inclusions on time scales with nonlocal initial conditions ⋮ Existence of extremal solutions by approximation to a first-order initial dynamic equation with Carathéodory's conditions and discontinuous non-linearities*

Cites Work

• The method of lower and upper solutions for periodic and anti-periodic difference equations
• Dynamic equations on time scales: A survey
• First order dynamic inclusions on time scales
• Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions
• Inequalities on Time Scales: A Survey
• Anti-periodic boundary value problem for nonlinear first order ordinary differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions