Approximate Solutions of Operator Equations

DOI10.1142/3407zbMath0914.65062OpenAlexW3021528686MaRDI QIDQ4379513

Mingjun Chen, Zhongying Chen, Guan-Rong Chen

Publication date: 1 March 1998

Full work available at URL: https://doi.org/10.1142/3407

zbMATH Keywords

Sobolev spacesFredholm integral equationsprojection operatorsBrouwer degreetextbookboundary value problemsfixed point theoremsapproximate solutiondegree theoryoperator equationsLeray-Schauder degreeoperator theoryprojection approximationsinitial problemstopological degrees\(A\)-proper operatorsabstract Banach spaces\(K\)-monotone operator equationsfirst- and second-order abstract evolution equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Numerical solutions to equations with nonlinear operators (65J15) Sequential statistical design (62L05) Theoretical approximation of solutions to integral equations (45L05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01) Nonlinear operators and their properties (47Hxx) Differential equations in abstract spaces (34Gxx)

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