On the solvability of one boundary value problem for a class of higher-order nonlinear partial differential equations. (English) Zbl 1465.35121
Summary: The boundary value problem for a class of higher-order nonlinear partial differential equations is considered. The theorems on existence, uniqueness and nonexistence of solutions of this problem are proved.
MSC:
| 35G31 | Initial-boundary value problems for nonlinear higher-order PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
Keywords:
Schaefer’s fixed point theoremReferences:
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