Initial-Boundary Value Problems for Nonlinear Dispersive Equations of Higher Orders Posed on Bounded Intervals with General Boundary Conditions

Mathematics

NikolaiA. Larkin¹  Jackson Luchesi² 

[1] Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo 5790: Agência UEM, Maringá 87020-900, PR, Brazil;Departamento de Matemática, Universidade Tecnológica Federal do Paraná—Câmpus Pato Branco, Via do Conhecimento Km 1, Pato Branco 85503-390, PR, Brazil;

关键词: higher-order dispersive equation;    general boundary condition;    global solution;    exponential decay;    bounded domain;   

DOI  :  10.3390/math9020165

来源: DOAJ

【 摘 要 】

The present article concerns general mixed problems for nonlinear dispersive equations of any odd-orders posed on bounded intervals. The results on existence, uniqueness and exponential decay of solutions are presented.

【 授权许可】

Unknown