6533b860fe1ef96bd12c2e57
RESEARCH PRODUCT
Existenzsätze für schwach nichtlineare Operatorgleichungen und Anwendung auf Randwertaufgaben mit gewöhnlichen Differentialgleichungen
Hans Adesubject
Pure mathematicsGeneral MathematicsOrdinary differential equationMathematical analysisExistence theoremNonlinear operator equationsBoundary value problemAlgebra over a fieldFixed pointMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1979-05-01 | Rendiconti del Circolo Matematico di Palermo |