A monotone method for the equation \(u_{xyz}=f\)
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Publication:1119820
DOI10.1016/0096-3003(88)90070-7zbMath0671.35014OpenAlexW2149974872MaRDI QIDQ1119820
Publication date: 1988
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(88)90070-7
lower and upper solutionsminimal and maximal solutionsnonlinear boundary value problemComparison theorems
Stability in context of PDEs (35B35) Boundary value problems for nonlinear higher-order PDEs (35G30)
Cites Work
- Monotone iterative technique for differential equations in a Banach space
- Existence and monotone method for periodic solutions of first-order differential equations
- On an analogue of the Euler-Cauchy polygon method for the numerical solution of \(u_{xy}=f(x, y, u, u_x, u_y)\)
- An existence theorem for the equation \(u_{xyz}=0\)
- The method of upper, lower solutions and hyperbolic partial differential equations
- On existence of extremal solutions of differential equations in Banach spaces
- Quasi-solutions and monotone method for infinite systems of nonlinear boundary value problems
- Monotone iterative scheme for nonlinear hyperbolic boundary value problem
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