On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations

Warning

This publication doesn't include Institute of Computer Science. It includes Faculty of Science. Official publication website can be found on muni.cz.

Authors	KIGURADZE Ivan PŮŽA Bedřich
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Functional Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	second order singular functional differential equations; two-point boundary value problems; unique solvability; stability
Description	For the functional differential equations u(t)= f(u)(t) with the continuous operator f from C1loc(]a,b[)to L1loc(]a,b[)the unimprovable, in a certain sense, sufficient conditions for the solvability and unique solvability of the two-point boundary value problems u(a+)=0=u(b-) and u(a+)=0=u(b-) are established. These condition cover the case when for an arbitrary u the function f(u) is not integrable on [a,b], having singularities at the points a and b.
Related projects:	Mathematical structures and their physical applications Functional-differential equations and mathematical-statistical models