Existence of nonconstant periodic solutions for a class of second-order systems with \(p(t)\)-Laplacian

DOI10.1186/s13661-017-0901-yzbMath1384.34047OpenAlexW2770384187WikidataQ59527492 ScholiaQ59527492MaRDI QIDQ1689752

Fanglei Wang, Yukun An, Yuanfang Ru

Publication date: 17 January 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0901-y

zbMATH Keywords

periodic solutionsecond order differential equations\(p(t)\)-Laplacian

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Periodic solutions for nonlocal \(p(t)\)-Laplacian systems ⋮ Existence of nonconstant periodic solutions for \(p(t)\)-Laplacian Hamiltonian system

Cites Work

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• On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
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• Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential
• A Knobloch-type result for \(p(t\))-Laplacian systems.
• Positive periodic solutions of nonlinear differential equations system with nonstandard growth
• Existence of solutions for \(p(x)\) Laplacian equations without Ambrosetti-Rabinowitz type condition
• Periodic solutions of second-order nonautonomous dynamical systems
• Periodic non-autonomous second-order dynamical systems
• Existence of periodic solutions for \(p(t)\)-Laplacian systems
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Periodic solutions of hamiltonian systems
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• Regularity results for a class of functionals with non-standard growth
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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