Positive solutions for nonlinear first-order \(m\)-point boundary value problem on time scales (Q1938302)
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scientific article; zbMATH DE number 6134170
| Language | Label | Description | Also known as |
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| English | Positive solutions for nonlinear first-order \(m\)-point boundary value problem on time scales |
scientific article; zbMATH DE number 6134170 |
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Positive solutions for nonlinear first-order \(m\)-point boundary value problem on time scales (English)
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4 February 2013
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Summary: By means of fixed-point theorems, we investigate the existence of positive solutions for nonlinear first-order \(m\)-point boundary value problem \(x^\Delta(t) + a(t)x(\sigma(t)) = f(t, x(\sigma(t)))\), \(t \in [t_1, t_m] \subset \mathbb T\), \(x(t_1) = \sum^{m-1}_{k=2} \alpha_k x(t_k) + \alpha_1 x(\sigma(t_m))\), where \(\mathbb T\) is a time scale, \(0 \leq t_1 < t_2 < \cdots < t_{m-1} < t_m\), \(\alpha_1, \alpha_2, \dots, \alpha_{m-1} \geq 0\) are given constants.
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0.8923847079277039
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0.8888421058654785
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0.8822425007820129
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0.8813554644584656
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