A theorem on many fixed points for nonlinear operator.
Sun, Jingxian, Sun, Yong (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Sun, Jingxian, Sun, Yong (1990)
Journal of Applied Mathematics and Stochastic Analysis
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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.
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.
Cai, Jingjing, Liu, Guilong (2011)
Abstract and Applied Analysis
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Feng, Meiqiang, Zhang, Xuemei, Ge, Weigao (2010)
Abstract and Applied Analysis
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Palamides, P.K., Palamides, A.P. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Kwong, Man Kam, Wong, James S.W. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Pietramala, Paolamaria (2011)
Boundary Value Problems [electronic only]
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Staněk, Svatoslav (1998)
Mathematica Slovaca
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