Initial value problems for integro-differential equations of Volterra type in Banach spaces.
Guo, Dajun (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.”
Initial value problems for integro-differential equations of Volterra type in Banach spaces.
Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.
Pandit, Sudhakar G. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Unbounded solutions of a boundary value problem for abstract th-order differential equations on an infinite interval.
Liu, Zhenbin, Liu, Lishan, Wu, Yonghong, Zhao, Jing (2008)
Journal of Applied Mathematics and Stochastic Analysis
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New results on the positive solutions of nonlinear second-order differential systems.
Guo, Yingxin (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Nonnegative solutions of a class of second order nonlinear differential equations
S. Staněk (1992)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
The upper and lower solution method for nonlinear third-order three-point boundary value problem.
Sun, Jian-Ping, Ren, Qiu-Yan, Zhao, Ya-Hong (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Existence criteria for integral equations in Banach spaces.
O'Regan, Donal, Precup, Radu (2001)
Journal of Inequalities and Applications [electronic only]
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Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.
Bahuguna, D., Dabas, J. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Positive solutions to systems of nonlinear second order three-point boundary value problems.
Wei, Jia, Sun, Jiang-Ping (2009)
Applied Mathematics E-Notes [electronic only]
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Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions.
Liu, Xiping, Xiao, Yu, Chen, Jianming (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
S. Carl, S. Heikkilä (1999)
Annales Polonici Mathematici
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We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
Some remarks on a fixed point theorem of Krasnoselskii.
Avramescu, Cezar (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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