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Keywords:
quasilinear telegraph equations; bounded solutions; time-periodic solutions; time delay; small global solution; abstract evolution equation; nonlinear coefficients; nonlinear right-hand side
quasilinear telegraph equations; bounded solutions; time-periodic solutions; time delay; small global solution; abstract evolution equation; nonlinear coefficients; nonlinear right-hand side
Summary:
The existence of small global (in time) solutions to an abstract evolution equation containing a damping term is proved. The result is then applied to fully nonlinear telegraph equations and to nonlinear equations involving operators with time delay.
References:
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