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@article{574404, author = {Kiguradze, Ivan and Půža, Bedřich}, article_location = {Israel}, article_number = {3-4}, keywords = {second order singular functional differential equations; two-point boundary value problems; unique solvability; stability}, language = {eng}, issn = {0793-1786}, journal = {Functional Differential Equations}, title = {On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations}, volume = {12/2005}, year = {2005} }
TY - JOUR ID - 574404 AU - Kiguradze, Ivan - Půža, Bedřich PY - 2005 TI - On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations JF - Functional Differential Equations VL - 12/2005 IS - 3-4 SP - 271-294 EP - 271-294 PB - The College of Judea and Samaria SN - 07931786 KW - second order singular functional differential equations KW - two-point boundary value problems KW - unique solvability KW - stability N2 - 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. ER -
KIGURADZE, Ivan and Bedřich PŮŽA. On Two-point Boundary Value Problems for Second Order Singular Functional Differential Equations. \textit{Functional Differential Equations}. Israel: The College of Judea and Samaria, 2005, 12/2005, 3-4, p.~271-294. ISSN~0793-1786.
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