On the Kneser-type solutions for two-dimensional linear differential systems with deviating arguments.

Domoshnitsky, Alexander; Koplatadze, Roman

Displaying similar documents to “On the Kneser-type solutions for two-dimensional linear differential systems with deviating arguments.”

An impulsive nonlinear singular version of the Gronwall-Bihari inequality.

Tatar, Nasser-Eddine (2006)

Journal of Inequalities and Applications [electronic only]

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Integral inequalities of Gronwall type for piecewise continuous functions.

Bainov, Drumi D., Hristova, Snezhana G. (1997)

Journal of Applied Mathematics and Stochastic Analysis

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On some new impulsive integral inequalities.

Li, Jianli (2008)

Journal of Inequalities and Applications [electronic only]

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Nonlinear delay integral inequalities for piecewise continuous functions and applications.

Hristova, S.G. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations

Yuji Liu, Xingyuan Liu (2013)

Mathematica Bohemica

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This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An...

Existence of solutions of periodic boundary value problems for impulsive functional Duffing equations at nonresonance case.

Liu, Xingyuan, Liu, Yuji (2008)

Boundary Value Problems [electronic only]

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Generalization of an impulsive nonlinear singular Gronwall-Bihari inequality with delay.

Deng, Shengfu, Prather, Carl (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Triple fixed-sign solutions in modelling a system with Hermite boundary conditions.

Wong, Patricia J.Y., Soh, Y.C. (2005)

Journal of Inequalities and Applications [electronic only]

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A survey and some new results on the existence of solutions of IPBVPs for first order functional differential equations

Yuji Liu (2009)

Applications of Mathematics

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This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation $\{\begin{matrix} x^{'} (t) = f (t, x (t), x (α_{1} (t)), \dots, x (α_{n} (t))) for a.e. t \in [0, T], Δ x (t_{k}) = I_{k} (x (t_{k})), k = 1, \dots, m, x (0) = x (T) . \end{matrix}$ We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.