Nagumo type existence results for second-order nonlinear dynamic BVPs

DOI10.1016/j.na.2004.07.036zbMath1072.34015OpenAlexW1976594664MaRDI QIDQ707217

Chuan Jen Chyan, Alberto Cabada, F. Merdivenci Atici, Billur Kaymakçalan

Publication date: 9 February 2005

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.2004.07.036

zbMATH Keywords

lower and upper solutionstime scaleNagumo condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12)

Related Items

On some existence and uniqueness results for a class of equations of order \(0 < \alpha \leq 1\) on arbitrary time scales ⋮ Dynamic boundary value problems of the second-order: Bernstein-Nagumo conditions and solvability ⋮ Boundary value problems for systems of second-order dynamic equations on time scales with \(\Delta \)-Carathéodory functions ⋮ A survey of recent results for the generalizations of ordinary differential equations ⋮ A class of the first order impulsive dynamic equations on time scales ⋮ Existence results for dynamic inclusions on time scales with nonlocal initial conditions ⋮ Existence results for \(\varphi \)-Laplacian boundary value problems on time scales ⋮ Almost periodic solutions for second order dynamic equations on time scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone methods for a discrete boundary problem
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Existence of solutions to second order problems with nonlinear boundary conditions
• Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• A boundary value problem for a system of difference equations
• Examples of the nonexistence of a solution in the presence of upper and lower solutions