Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales

DOI10.1016/j.na.2007.06.034zbMath1189.34170OpenAlexW2080391223MaRDI QIDQ943686

Liqun Jiang, Zhan Zhou

Publication date: 10 September 2008

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.2007.06.034

zbMATH Keywords

critical point theoryboundary value problemsecond-order dynamic equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamic equations on time scales or measure chains (34N05)

Related Items (12)

Variational approach to a class of \(p\)-Laplacian systems on time scales ⋮ On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions ⋮ Existence of solutions for a class of damped vibration problems on time scales ⋮ Multiple positive solutions for second-order \(p\)-Laplacian dynamic equations with integral boundary conditions ⋮ Integral boundary value problems for first order nonlinear impulsive functional integro-differential equations ⋮ Variational approach to a class of second order Hamiltonian systems on time scales ⋮ Positive solutions for Sturm-Liouville BVPs on time scales via sub-supersolution and variational methods ⋮ Sobolev's spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales ⋮ Multiple positive solutions of nonlinear third-order boundary value problems with integral boundary conditions on time scales ⋮ Necessary conditions for a class of optimal control problems on time scales ⋮ Existence of weak solutions for second-order boundary value problem of impulsive dynamic equations on time scales ⋮ On existence of optimal control governed by a class of the first-order linear dynamic systems on time scales

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