On the Cauchy problem for hyperbolic functional-differential equations
Adrian Karpowicz ; Henryk Leszczyński
Annales Polonici Mathematici, Tome 113 (2015), p. 53-74 / Harvested from The Polish Digital Mathematics Library
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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 Wloc1,∞ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:280520 
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Adrian Karpowicz; Henryk Leszczyński. On the Cauchy problem for hyperbolic functional-differential equations. Annales Polonici Mathematici, Tome 113 (2015) pp. 53-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-5/