EXISTENCE OF LOCAL SOLUTIONS FOR BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS

JOHNNY HENDERSON

Title	EXISTENCE OF LOCAL SOLUTIONS FOR BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS
Publication Type	Journal Article
Year of Publication	2015
Authors	HENDERSON, JOHNNY
Volume	19
Issue	1
Start Page	103
Pagination	9
Date Published	2015
ISSN	1083-2564
AMS	34B10, 34B15
Abstract	Conditions are given for the existence of local solutions of the nth order ordinary differential equation, ${ y^{(n)}+f(x, y, y′ , . . . , y^{(n−1)}) = 0 }$, satisfying the respective Dirichlet and nonlocal integral boundary conditions, ${ y^{(i−1)}(a) = A_i ,\ i = 1, . . . , n − 1,}$ and ${\int^b_a y(x) dx = A_n }$.
URL	http://www.acadsol.eu/en/articles/19/1/8.pdf
Refereed Designation	Refereed
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