Displaying similar documents to “Positive solutions of some three-point boundary value problems via fixed point index for weakly inward A -proper maps.”

A third order boundary value problem subject to nonlinear boundary conditions

Gennaro Infante, Paolamaria Pietramala (2010)

Mathematica Bohemica

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Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.

Nonlinear Leray-Schauder alternatives and application to nonlinear problem arising in the theory of growing cell population

Afif Amar (2011)

Open Mathematics

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Motivated by a mathematical model of an age structured proliferating cell population, we state some new variants of Leray-Schauder type fixed point theorems for (ws)-compact operators. Further, we apply our results to establish some new existence and locality principles for nonlinear boundary value problem arising in the theory of growing cell population in L 1-setting. Besides, a topological structure of the set of solutions is provided.