On the Existence and Uniqueness of Solutions of Boundary Value Problems for Second Order Functional Differential Equations
Mathematica Moravica, Tome 17 (2013) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we study existence and uniqueness of solutions of boundary value problems for second order nonlinear delay differential equations. We transform the boundary value problem to an equivalent integral equation and then we use the Banach fixed point theorem and the notion of the Fréchet derivative.
Mots-clés :
Functional differential equation, integral equation, contractive operator
@article{MM3_2013_17_1_a4, author = {Evangelia Athanassiadou}, title = {On the {Existence} and {Uniqueness} of {Solutions} of {Boundary} {Value} {Problems} for {Second} {Order} {Functional} {Differential} {Equations}}, journal = {Mathematica Moravica}, pages = {51 - 57}, publisher = {mathdoc}, volume = {17}, number = {1}, year = {2013}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2013_17_1_a4/} }
TY - JOUR AU - Evangelia Athanassiadou TI - On the Existence and Uniqueness of Solutions of Boundary Value Problems for Second Order Functional Differential Equations JO - Mathematica Moravica PY - 2013 SP - 51 EP - 57 VL - 17 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2013_17_1_a4/ ID - MM3_2013_17_1_a4 ER -
%0 Journal Article %A Evangelia Athanassiadou %T On the Existence and Uniqueness of Solutions of Boundary Value Problems for Second Order Functional Differential Equations %J Mathematica Moravica %D 2013 %P 51 - 57 %V 17 %N 1 %I mathdoc %U https://geodesic-test.mathdoc.fr/item/MM3_2013_17_1_a4/ %F MM3_2013_17_1_a4
Evangelia Athanassiadou. On the Existence and Uniqueness of Solutions of Boundary Value Problems for Second Order Functional Differential Equations. Mathematica Moravica, Tome 17 (2013) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2013_17_1_a4/