On the Cauchy problem for hyperbolic functional-differential equations
Adrian Karpowicz, Henryk Leszczyński (2015)
Annales Polonici Mathematici
Similarity:
We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.