k-dimensional nonlocal boundary-value problems at resonance
In this article we show the existence of at least one solution to the system of nonlocal resonant boundary-value problem $$ x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s), $$ where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k$, $g:[0,1]\to\mathbb{R}^k$.
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| Format: | Article |
| Language: | English |
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Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/148/abstr.html |