Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities

DOI10.1016/j.jmaa.2008.02.006zbMath1144.35005OpenAlexW2077877471MaRDI QIDQ924210

Cristian Bereanu

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.006

zbMATH Keywords

existencemultiplicitynonexistenceLeray-Schauder degreeperiodicity in space and time

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (14)

Positive doubly periodic solutions of telegraph equations with delays ⋮ Chaotic semigroups from second order partial differential equations ⋮ On the Cauchy problem for hyperbolic functional-differential equations ⋮ Existence of doubly periodic solutions for a class of telegraph system with indefinite weight ⋮ Existence results for a nonlinear semipositone telegraph system with repulsive weak singular forces ⋮ Doubly periodic solutions to a coupled telegraph system ⋮ Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential ⋮ A new solution procedure for the nonlinear telegraph equation ⋮ Homotopy analysis method for the one‐dimensional hyperbolic telegraph equation with initial conditions ⋮ Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method ⋮ Fredholm solvability of a periodic Neumann problem for a linear telegraph equation ⋮ Effect of resonance on the existence of periodic solutions for strongly damped wave equation ⋮ Application of polynomial scaling functions for numerical solution of telegraph equation ⋮ The Multidimensional Damped Wave Equation: Maximal Weak Solutions for Nonlinear Forcing via Semigroups and Approximation

Cites Work

• Periodic solutions of ordinary differential equations with bounded nonlinearities
• Multiple periodic solutions of ordinary differential equations with bounded nonlinearities and \(\varphi\)-Laplacian
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• A maximum principle for periodic solutions of the telegraph equation
• Periodic solutions for second order differential equations with discontinuous restoring forces.
• Foliations, associated reductions and lower and upper solutions
• Generalized periodic solutions of nonlinear telegraph equations
• A duality theorem for periodic solutions of a class of second order evolution equations

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