1. Second order quasilinear functional evolution equations
- Creator:
- Simon, László
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- functional evolution equation, second order quasilinear equation, and monotone operator
- Language:
- English
- Description:
- We consider second order quasilinear evolution equations where also the main part contains functional dependence on the unknown function. First, existence of solutions in (0, T ) is proved and examples satisfying the assumptions of the existence theorem are formulated. Then a uniqueness theorem is proved. Finally, existence and some qualitative properties of the solutions in (0,∞) (boundedness and stabilization as t → ∞) are shown.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public