Existence of solutions to a boundary-value problem for an infinite system of differential equations
Using techniques associated with measures of noncompactness we prove an existence of solutions for a boundary-value problem for an infinite system of ordinary differential equations of second order. Our approach depends on transforming of the original boundary-value problem into an infinite syst...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/262/abstr.html |
| Summary: | Using techniques associated with measures of noncompactness we prove
an existence of solutions for a boundary-value problem for an infinite
system of ordinary differential equations of second order.
Our approach depends on transforming of the original boundary-value problem
into an infinite system of integral equations of Fredholm type.
The settings for this article are in the classical Banach sequence
space $l_p$ with $p\geq 1$. |
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| ISSN: | 1072-6691 |