Bounded solutions of nonlinear hyperbolic equations with time delay
Electronic Journal of Differential Equations, cilt.2018, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2018
- Basım Tarihi: 2018
- Dergi Adı: Electronic Journal of Differential Equations
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Bounded solution, Nonlinear hyperbolic equation, Time delay
- Trakya Üniversitesi Adresli: Evet
Özet
We consider the initial value problem (Forumala Presented). For a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint positive definite operator A. We establish the existence and uniqueness of a bounded solution, and show application of the main theorem for four nonlinear partial differential equations with time delay. We present first and second order accuracy difference schemes for the solution of one dimensional nonlinear hyperbolic equation with time delay. Numerical results are also given.