6533b7d2fe1ef96bd125e94f

RESEARCH PRODUCT

Zur Existenz von Lösungen gewisser Randwertaufgaben

Hans Ade

subject

CombinatoricsApplied MathematicsGeneral MathematicsMathematical analysisLinear problemGeneral Physics and AstronomyExistence theoremIntegral equationBoundary valuesEigenvalues and eigenvectorsMathematics

description

With the aid of some known results about integral equations of the Hammerstein type there is proofed an existence theorem for the following class of boundary value problems−y″−l 2 y′=f(x,y),y(a)=y(b)=0,l 2>0 mit|f(x, y)|=0,l 3 (x)>0. The existence range is determined by the greatest eigenvalue of some linear problem.

https://doi.org/10.1007/bf01614006