Solving large classes of nonlinear systems of PDEs

DOI10.1016/j.camwa.2006.02.040zbMath1130.35026arXivmath/0505674OpenAlexW1975052383MaRDI QIDQ2459637

Roumen Anguelov, Elemer E. Rosinger

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505674

zbMATH Keywords

Dedekind order completionHausdorff continuous functionorder completion methodtype independent existence and regularity

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Other special methods applied to PDEs (35A25)

Related Items (11)

Algebraic and topological structure of some spaces of set-valued maps ⋮ Product ordered Hausdorff continuous \(\mathbb{R}^n\)-interval functions ⋮ Unnamed Item ⋮ Further remarks on simple flows of fluids with pressure-dependent viscosities ⋮ Vector-valued interval functions and the Dedekind completion of \(C(X,E)\) ⋮ Hausdorff continuous interval-valued functions and quasicontinuous functions ⋮ Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions ⋮ The order completion method for systems of nonlinear PDEs: solutions of initial value problems ⋮ The Dedekind Completion of C(X) with Pointwise Discontinuous Functions ⋮ Solutions of smooth nonlinear partial differential equations ⋮ The convergence space of minimal USCO mappings

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