On some properties of a system of nonlinear partial functional differential equations
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential equation (containing $t$ as a parameter) with b...
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2016-08-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4274 |
Summary: | We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential equation (containing $t$ as a parameter) with boundary conditions. Existence and some qualitative properties of weak solutions for $t\in (0,\infty )$ are proved. |
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ISSN: | 1417-3875 1417-3875 |