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Zbl 1207.26016
Wen, Shu; Deng, Chunhua
Three positive solutions of nonlinear first-order boundary value problems on time scales. (English)
[J] Int. J. Pure Appl. Math. 63, No. 2, 129-136 (2010). ISSN 1311-8080

Summary: Existence criteria of three positive solutions to the following nonlinear first-order boundary value problem on time scales $$\cases x^\Delta(t)= f(x(\sigma(t))), &t\in[0,T]_{\Bbb T},\\ x(0)= \eta x(\sigma(T)), \endcases$$ are established by using the fixed-point theorem due to {\it J. Ren, W. Ge} and {\it B. Ren} [Acta Math. Appl. Sin., Engl. Ser. 21, No.~3, 353--358 (2005; Zbl 1113.34016)]. An example is also given to illustrate the main result.

MSC 2000:: *26A33 Fractional derivatives and integrals (real functions)

Keywords: time scale; boundary value problem; positive solution; fixed point

Citations: Zbl 1113.34016

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