Semilinear hyperbolic functional equations
Volume 101 / 2014
Banach Center Publications 101 (2014), 207-224
MSC: Primary 35L71; Secondary 35R10.
DOI: 10.4064/bc101-0-16
Abstract
We consider second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence and uniqueness of solutions for $t\in (0,T)$, existence for $t\in (0,\infty )$ and some qualitative properties of the solutions in $(0,\infty )$ are shown.
