On Solvability and Well-Posedness of Boundary Value Problems for Nonlinear Hyperbolic Equations of the Fourth Order
Keyword(s):
Abstract In the rectangle Ω = [0, a] × [0, b] the nonlinear hyperbolic equation 𝑢(2,2) = 𝑓(𝑥, 𝑦, 𝑢) with the continuous right-hand side 𝑓 : Ω × ℝ → ℝ is considered. Unimprovable in a sense sufficient conditions of solvability of Dirichlet, Dirichlet–Nicoletti and Nicoletti boundary value problems are established.
2013 ◽
Vol 402
(1)
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pp. 167-178
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2020 ◽
Vol 6
(1)
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pp. 62-75
1972 ◽
Vol 36
(3)
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pp. 401-408
2002 ◽
Vol 66
(1)
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pp. 95-104
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2017 ◽
Vol 24
(3)
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pp. 409-428
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