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A Tribute to Professor Ivan Kiguradze

This thematic series is devoted to Professor Ivan Kiguradze, a distinguished mathematician in the fields of the theory of ordinary differential equations as well as functional differential equations. He is the recipient of numerous prizes and awards, among them the Order of Honor of the Republic of Georgia and Bernard Bolzano Honorary Medal for Merits in Mathematical Sciences.

He has published 10 monographs and more than 250 research articles and contributions to conference proceedings. He has been a supervisor of 26 PhD students, whom have already obtained the title of Doctor of Science and established reputations in their own chosen field of mathematical research.

Edited by: Irena Rachunkova, Svatoslav Stanek and Milan Tvrdy

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  1. Content type: Editorial

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    Authors: Irena Rachůnková, Svatoslav Staněk, Milan Tvrdý, Aleksandre Lomtatidze, Ravi P Agarwal, Irina Astashova, Alexander Domoshnitsky, Zuzana Došlá, Vyacheslav M Evtukhov, Nicolai A Izobov, Takasi Kusano, Nino Partsvania, Mykola Perestyuk, Bedřich Půža, Miklós Rontó and Nicolai Rozov

    Citation: Boundary Value Problems 2014 2014:228

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  2. Content type: Research Article

    In this paper we investigate the analytical properties of systems of linear ordinary differential equations (ODEs) with unsmooth nonintegrable inhomogeneities and a time singularity of the first kind. We are e...

    Authors: Jana Burkotová, Irena Rachůnková, Svatoslav Staněk and Ewa B Weinmüller

    Citation: Boundary Value Problems 2014 2014:183

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  3. Content type: Research

    In this paper we investigate the properties of the set of T-periodic solutions of semi-explicit parametrized differential-algebraic equations with non-autonomous constraints of a particular type. We provide simpl...

    Authors: Luca Bisconti, Alessandro Calamai and Marco Spadini

    Citation: Boundary Value Problems 2014 2014:179

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  4. Content type: Research

    General nonlocal boundary value problems are considered for systems of impulsive equations with finite and fixed points of impulses. Sufficient conditions are established for the solvability and unique solvabi...

    Authors: Malkhaz Ashordia, Goderdzi Ekhvaia and Nestan Kekelia

    Citation: Boundary Value Problems 2014 2014:157

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  5. Content type: Research

    In this paper we study the existence of solutions of nonlinear fractional differential equations at resonance. By using the coincidence degree theory, some results on the existence of solutions are obtained.

    Authors: Zhigang Hu, Wenbin Liu and Jiaying Liu

    Citation: Boundary Value Problems 2014 2014:176

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  6. Content type: Research

    We discuss the existence of solutions of nonlinear third order ordinary differential equations with integral boundary conditions. We provide sufficient conditions on the nonlinearity and the functions appearin...

    Authors: Abdelkader Boucherif, Sidi Mohamed Bouguima, Zehour Benbouziane and Nawal Al-Malki

    Citation: Boundary Value Problems 2014 2014:137

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  7. Content type: Research

    In this paper, by using the coincidence degree theory and the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differen...

    Authors: Yulin Zhao, Haibo Chen and Qiming Zhang

    Citation: Boundary Value Problems 2014 2014:103

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  8. Content type: Research

    We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some coupled implicit differential equations. In particular we show the persistence of such orbits connecting sing...

    Authors: Flaviano Battelli and Michal Fečkan

    Citation: Boundary Value Problems 2014 2014:101

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  9. Content type: Research

    This work is devoted to the study of the existence and sign of Green’s functions for first order linear problems with constant coefficients and initial (one point) conditions. We first prove a result on the ex...

    Authors: Alberto Cabada and Fernando Adrián Fernández Tojo

    Citation: Boundary Value Problems 2014 2014:99

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  10. Content type: Research

    In this paper we continue our research from (Monteiro and Tvrdý in Discrete Contin. Dyn. Syst. 33(1):283-303, 2013) on continuous dependence on a parameter k of solutions to linear integral equations of the form

    Authors: Giselle Antunes Monteiro and Milan Tvrdý

    Citation: Boundary Value Problems 2014 2014:71

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  11. Content type: Research

    In this paper, we discuss the expression and properties of Green’s function for boundary value problems of nonlinear Sturm-Liouville-type fractional order impulsive differential equations. Its applications are...

    Authors: Jie Zhou and Meiqiang Feng

    Citation: Boundary Value Problems 2014 2014:69

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  12. Content type: Research

    We study oscillatory properties of a class of second-order nonlinear neutral functional differential equations with distributed deviating arguments. On the basis of less restrictive assumptions imposed on the ...

    Authors: Tongxing Li, Blanka Baculíková and Jozef Džurina

    Citation: Boundary Value Problems 2014 2014:68

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  13. Content type: Research

    In this note, we study a new class of ordinary differential equations with non-instantaneous impulses. Both existence and generalized Ulam-Hyers-Rassias stability results are established. Finally, an example i...

    Authors: YuMei Liao and JinRong Wang

    Citation: Boundary Value Problems 2014 2014:67

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  14. Content type: Research

    We study oscillatory behavior of a class of fourth-order neutral differential equations with a p-Laplacian like operator using the Riccati transformation and integral averaging technique. A Kamenev-type oscillati...

    Authors: Tongxing Li, Blanka Baculíková, Jozef Džurina and Chenghui Zhang

    Citation: Boundary Value Problems 2014 2014:56

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  15. Content type: Research

    A constructive technique for the study of boundary value problems for n th order differential equations with deviating arguments is described. A computer-assisted proof of the correct solvability of the considere...

    Authors: Aleksandr Rumyantsev

    Citation: Boundary Value Problems 2014 2014:53

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