Periodic solutions of partial differential equations with hysteresis
Krejčí, Pavel
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Displaying similar documents to “Periodic solutions of hyperbolic partial differential equation with quadratic dissipative term”
Periodic solutions of partial differential equations with hysteresis
Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
G. Ströhmer, W. Zajączkowski (1999)
Applicationes Mathematicae
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Local existence of solutions is proved for equations describing the motion of a viscous compressible barotropic and self-gravitating fluid in a domain bounded by a free surface. First by the Galerkin method and regularization techniques the existence of solutions of the linearized momentum equations is proved, next by the method of successive approximations local existence to the nonlinear problem is shown.
Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
Jong Yeoul Park, Sun Hye Park (2009)
Czechoslovak Mathematical Journal
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We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.
Systems of quasilinear parabolic equations with discontinuous coefficients and continuous delays.
Tan, Qi-Jian (2011)
Advances in Difference Equations [electronic only]
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On periodic solutions of a special type of the beam equation
Jan Řeháček (1988)
Aplikace matematiky
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The paper deals with the existence of time-periodic solutions to the beam equation, in which terms expressing torsion and damping are also considered. The existence of periodic solutions is proved in the cas of time-periodic outer forces by means of an apriori estimate and the Fourier method.