Periodic solutions of the equation
Hana Petzeltová (1973)
Czechoslovak Mathematical Journal
Similarity:
Hana Petzeltová (1973)
Czechoslovak Mathematical Journal
Similarity:
Eduard Feireisl (1987)
Aplikace matematiky
Similarity:
In this paper, the system consisting of two nonlinear equations is studied. The former is hyperbolic with a dissipative term and the latter is elliptic. In a special case, the system reduces to the approximate model for the damped transversal vibrations of a string proposed by G. F. Carrier and R. Narasimha. Taking advantage of accelerated convergence methods, the existence of at least one time-periodic solution is stated on condition that the right-hand side of the system is sufficiently...
Eduard Feireisl (1988)
Aplikace matematiky
Similarity:
The author investigates time-periodic solutions of the quasilinear beam equation with the help of accelerated convergence methods. Using the Newton iteration scheme, the problem is approximated by a sequence of linear equations solved via the Galerkin method. The derivatiove loss inherent to this kind of problems is compensated by taking advantage of smoothing operators.