Hyperbolic problems in three independent variables: mathematical analysis and constructive methods D.H. Dezern, S.G. Pandit, U.D. Vyas

DOI10.1016/J.NA.2009.02.058zbMath1238.35062OpenAlexW2030330840MaRDI QIDQ424348

U. D. Vyas, Sudhakar G. Pandit, David H. Dezern

Publication date: 31 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.058

zbMATH Keywords

monotone iterative techniqueupper solutionsmaximal solutionscoupled lowercoupled minimalhyperbolic partial differential inequality

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Theoretical approximation in context of PDEs (35A35) Higher-order nonlinear hyperbolic equations (35L75)

Cites Work

• 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 \(u_{xyz}=0\)
• On Hyperbolic Partial Differential Equations
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