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

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  • Nikolai A. Larkin

    (Departamento de Matemática, Universidade Estadual de Maringá, Av. Colombo 5790: Agência UEM, Maringá, PR 87020-900, Brazil
    These authors contributed equally to this work.)

  • Jackson Luchesi

    (Departamento de Matemática, Universidade Tecnológica Federal do Paraná—Câmpus Pato Branco, Via do Conhecimento Km 1, Pato Branco, PR 85503-390, Brazil
    These authors contributed equally to this work.)

Abstract

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.

Suggested Citation

  • Nikolai A. Larkin & Jackson Luchesi, 2021. "Initial-Boundary Value Problems for Nonlinear Dispersive Equations of Higher Orders Posed on Bounded Intervals with General Boundary Conditions," Mathematics, MDPI, vol. 9(2), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:2:p:165-:d:480502
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    References listed on IDEAS

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    1. N. A. Larkin & J. Luchesi, 2018. "Higher-Order Stationary Dispersive Equations on Bounded Intervals," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-9, January.
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