Abstract
We study a boundary-value problem for a quasi-linear equation of even order with periodic boundary conditions. We prove the existence and uniqueness of a weak generalized solution.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 140, Differential Equations. Mathematical Physics, 2017.
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Yuldasheva, A.V. On a Problem for a Quasi-Linear Equation of Even Order. J Math Sci 241, 423–429 (2019). https://doi.org/10.1007/s10958-019-04434-3
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DOI: https://doi.org/10.1007/s10958-019-04434-3
Keywords and phrases
- boundary-value problem
- quasi-linear equation
- Fourier method
- Banach space
- weak generalized solution
- test function