An existence result for impulsive multi-point boundary value systems using a local minimization principle

DOI10.1007/S10957-018-1253-1zbMath1391.34061OpenAlexW2792630096MaRDI QIDQ1637346

Ghasem Alizadeh Afrouzi, Shahin Moradi, Giuseppe Caristi, Shapour Heidarkhani, Martin J. Bohner

Publication date: 8 June 2018

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1253-1

zbMATH Keywords

variational methodscritical point theoryclassical solutionexistence resultimpulsive effectsmulti-point boundary value problemsminimization principle

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (8)

Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions ⋮ Existence of solutions for a class of second-order boundary value problems ⋮ A critical point approach to boundary value problems on the real line ⋮ Existence of at least one homoclinic solution for a nonlinear second-order difference equation ⋮ Existence for semilinear impulsive differential inclusions without compactness ⋮ A critical point approach for a second-order dynamic Sturm-Liouville boundary value problem with \(p\)-Laplacian ⋮ Existence results for dynamic Sturm-Liouville boundary value problems via variational methods ⋮ Existence and multiplicity of weak solutions for a Neumann elliptic problem with \(\vec{p}(x)\)-Laplacian

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