DOAJ Open Access 2021

Classical solutions for a class of nonlinear wave equations

Georgiev Svetlin Mebarki Karima Zennir Khaled

Lihat Sumber DOI

Abstrak

We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral representation of the solutions for the considered initial value problems and using this integral representation we establish existence of classical solutions for the considered classes of nonlinear wave equations.

Topik & Kata Kunci

Mechanics of engineering. Applied mechanics

Penulis (3)

Georgiev Svetlin

Mebarki Karima

Zennir Khaled

Format Sitasi

APA MLA BibTeX

Svetlin, G., Karima, M., Khaled, Z. (2021). Classical solutions for a class of nonlinear wave equations. https://doi.org/10.2298/TAM201123013G

Akses Cepat

Lihat di Sumber doi.org/10.2298/TAM201123013G

Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.2298/TAM201123013G
Akses: Open Access ✓