Search results for "operator equation"

showing 2 items of 2 documents

Existenzsätze für schwach nichtlineare Operatorgleichungen und Anwendung auf Randwertaufgaben mit gewöhnlichen Differentialgleichungen

1979

With Schauder's fixpoint principle we establish an existence theorem for solutions of two simultaneous nonlinear operator equations of the formL iu=Miu, i=1,2, Li linear,M i continous. By applying this result to boundary value problems with ordinary differential equations we generalize results of Conti and Ehrmann in various directions.

Pure mathematicsGeneral MathematicsOrdinary differential equationMathematical analysisExistence theoremNonlinear operator equationsBoundary value problemAlgebra over a fieldFixed pointMathematicsRendiconti del Circolo Matematico di Palermo
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Fixed Point Theorems with Applications to the Solvability of Operator Equations and Inclusions on Function Spaces

2015

Fixed point theory is an elegant mathematical theory which is a beautiful mixture of analysis, topology, and geometry. It is an interdisciplinary theory which provides powerful tools for the solvability of central problems in many areas of current interest in mathematics and other quantitative sciences, such as physics, engineering, biology, and economy. In fact, the existence of linear and nonlinear problems is frequently transformed into fixed point problems, for example, the existence of solutions to partial differential equations, the existence of solutions to integral equations, and the existence of periodic orbits in dynamical systems. This makes fixed point theory a topical area and …

function spacefixed pointSettore MAT/05 - Analisi Matematicaoperator equation
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