Periodic solutions of second-order wave equations. I.
Copyright policy )Periodic solutions of second-order wave equations. I.
[For part I see ibid. 38, 505-511 (1986); translation from Ukr. Mat. Zh. 38, No.5, 593-600 (1986; Zbl 0632.34035).] The existence of classical periodic solutions of the problem \[ (1)\quad u_{tt}-u_{xx}=g(x,t),\quad 0
integro-differential nonlinear wave equations, nonlinear wave equations, existence, Existence of generalized solutions of PDE, classical periodic solutions, second order wave equations, generalized periodic solutions, van der Pol equation, semilinear wave equation, delay differential equation, General existence and uniqueness theorems (PDE), wave equation, structure, Initial-boundary value problems for second-order hyperbolic equations, Periodic solutions to ordinary differential equations, Second-order nonlinear hyperbolic equations, Periodic solutions to PDEs, periodic weak solution
integro-differential nonlinear wave equations, nonlinear wave equations, existence, Existence of generalized solutions of PDE, classical periodic solutions, second order wave equations, generalized periodic solutions, van der Pol equation, semilinear wave equation, delay differential equation, General existence and uniqueness theorems (PDE), wave equation, structure, Initial-boundary value problems for second-order hyperbolic equations, Periodic solutions to ordinary differential equations, Second-order nonlinear hyperbolic equations, Periodic solutions to PDEs, periodic weak solution
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