Boundary value problems for systems of second-order dynamic equations on time scales with \(\Delta \)-Carathéodory functions

DOI10.1155/2010/234015zbMath1211.34114OpenAlexW2106105034WikidataQ58649777 ScholiaQ58649777MaRDI QIDQ624471

Hugues Gilbert, Marlène Frigon

Publication date: 9 February 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225656

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Dynamic equations on time scales or measure chains (34N05)

Related Items (2)

Existence of solution to a local fractional nonlinear differential equation ⋮ Existence of solutions for nonlinear fractional differential equations with non-homogenous boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions
• Nagumo type existence results for second-order nonlinear dynamic BVPs
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Dynamic boundary value problems of the second-order: Bernstein-Nagumo conditions and solvability
• Sobolev's spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales
• Boundary and periodic value problems for systems of nonlinear second order differential equations
• Comparison theorem for a nonlinear boundary value problem on time scales
• On the existence and uniqueness of solutions to boundary value problems on time scales
• Basic properties of Sobolev's spaces on time scales
• On lower and upper solutions without ordering on time scales
• Existence of solutions to boundary value problems for dynamic systems on time scales
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• Periodic boundary value problems on time scales
• Three Point Boundary Value Problems on Time Scales
• Criterions for absolute continuity on time scales

This page was built for publication: Boundary value problems for systems of second-order dynamic equations on time scales with \(\Delta \)-Carathéodory functions