Semilinear hyperbolic functional equations

László Simon

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 207-224
  • ISSN: 0137-6934

Abstract

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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 ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.

How to cite

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László Simon. "Semilinear hyperbolic functional equations." Banach Center Publications 101.1 (2014): 207-224. <http://eudml.org/doc/282243>.

@article{LászlóSimon2014,
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 ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.},
author = {László Simon},
journal = {Banach Center Publications},
keywords = {semilinear hyperbolic equations; partial functional equations; qualitative properties of solutions; existence and uniqueness; global solutions},
language = {eng},
number = {1},
pages = {207-224},
title = {Semilinear hyperbolic functional equations},
url = {http://eudml.org/doc/282243},
volume = {101},
year = {2014},
}

TY - JOUR
AU - László Simon
TI - Semilinear hyperbolic functional equations
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 207
EP - 224
AB - 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 ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.
LA - eng
KW - semilinear hyperbolic equations; partial functional equations; qualitative properties of solutions; existence and uniqueness; global solutions
UR - http://eudml.org/doc/282243
ER -

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