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- W2079914967 abstract "Using an elementary approach, we prove the existence of three positive and concave solutions of the second-order two-point boundary-value problem $$ begin{array}{lll}&& x^{primeprime}(t)=alpha(t)f(t,x(t),x^{prime}(t)),qquad 0 < t < 1,&& qquad qquad qquad x(0)=x(1)=0.end{array}$$ We rely on the analysis of the corresponding vector field on the phase space, Kneser-type properties of the solution funnel, and the Schauder fixed-point theorem. The obtained results demonstrate the simplicity and efficiency (one could study a problem with more general boundary conditions) of our new approach as compared with the commonly used ones, such as the Leggett–Williams fixed-point theorem and its generalizations." @default.
- W2079914967 created "2016-06-24" @default.
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- W2079914967 date "2013-02-22" @default.
- W2079914967 modified "2023-09-27" @default.
- W2079914967 title "Triple positive solutions for a class of two-point boundary-value problems. A fundamental approach" @default.
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- W2079914967 doi "https://doi.org/10.1007/s10958-013-1222-z" @default.
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