Existence of solutions for a class of nonlinear impulsive wave equations

DOI10.1007/S11587-021-00649-2OpenAlexW3199176901MaRDI QIDQ2147964

Khaled Zennir, Svetlin G. Georgiev

Publication date: 21 June 2022

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-021-00649-2

zbMATH Keywords

conefixed pointpositive solutionhyperbolic equationssum of operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Index theory and related fixed-point theorems on manifolds (58J20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

The generalized Fourier convolution on time scales ⋮ Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations ⋮ Existence of Global Classical Solutions for the Saint-Venant Equations ⋮ Existence of classical solutions for a class of nonlinear impulsive evolution partial differential equations ⋮ Существование классических решений для класса уравнений типа Хохлова - Заболоцкой - Кузнецова ⋮ Existence of solutions for two-point integral boundary value problems with impulses ⋮ Unnamed Item

Cites Work

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• Periodic solutions of nonlinear vibrating strings and duality principles
• Solutions of asymptotically linear operator equations via morse theory
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz

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