Title of article :
Greenʼs function for first-order multipoint boundary value problems and applications to the existence of solutions with constant sign
Author/Authors :
Nieto، نويسنده , , Juan J. and Rodrيguez-Lَpez، نويسنده , , Rosana، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Pages :
12
From page :
952
To page :
963
Abstract :
We consider a first-order linear differential equation subject to boundary value conditions which take into account the values of the function at multiple points in the interval of interest. For this problem, we calculate the Greenʼs function which allows to express in integral form the exact expression of the unique solution to the multipoint boundary value problem under the appropriate conditions. From this study, some results are derived concerning the existence of solutions with a constant sign (that is, some comparison results for first-order multipoint boundary value problems).
Keywords :
First-order differential equations , linear differential equations , existence of solution , Uniqueness of solution , positive solutions , Explicit solution , Green?s function , boundary value problems
Journal title :
Journal of Mathematical Analysis and Applications
Serial Year :
2012
Journal title :
Journal of Mathematical Analysis and Applications
Record number :
1562562
Link To Document :
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