Positive solutions for systems of nth order three-point nonlocal boundary value problems.
Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Jean Mawhin, Klaus Schmitt (1990)
Annales Polonici Mathematici
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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.
Harasim, Petr
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Schiop, Alexandru I. (1979)
Portugaliae mathematica
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D. R. Dunninger, Haiyan Wang (1998)
Annales Polonici Mathematici
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We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.
Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Octavia Bolojan, Gennaro Infante, Radu Precup (2015)
Mathematica Bohemica
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The purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first order differential systems subject to nonlinear nonlocal initial conditions of functional type. The approach uses vector-valued metrics and matrices convergent to zero. Two existence results are given by means of Schauder and Leray-Schauder fixed point principles and the existence and uniqueness of the solution is obtained via a fixed point theorem due to Perov. Two examples...