Erratum
Boundary Value Problems 2016 2016:199
Published on: 10 November 2016
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
Erratum
Boundary Value Problems 2016 2016:199
Published on: 10 November 2016
Editorial
No abstract
Boundary Value Problems 2014 2014:228
Published on: 15 October 2014
Research
Boundary Value Problems 2014 2014:225
Published on: 30 September 2014
Research
We continue our study of constructive numerical-analytic schemes of investigation of boundary problems. We simplify and improve the recently suggested interval halving technique allowing one to essentially wea...
Boundary Value Problems 2014 2014:164
Published on: 26 September 2014
Research
Boundary Value Problems 2014 2014:161
Published on: 26 September 2014
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...
Boundary Value Problems 2014 2014:183
Published on: 26 September 2014
Research
The aim of this paper is to study the asymptotic properties and oscillation of the n th order advanced differential equations
Boundary Value Problems 2014 2014:214
Published on: 26 September 2014
Research
The paper is devoted to the existence of oscillatory and non-oscillatory quasi-periodic, in some sense, solutions to a higher-order Emden-Fowler type differential equation.
Boundary Value Problems 2014 2014:174
Published on: 25 September 2014
Research
We discuss a non-local boundary value problem of second-order, where the involved nonlinearity depends on the derivative and may be singular. The boundary conditions are given by Riemann-Stieltjes integrals. W...
Boundary Value Problems 2014 2014:200
Published on: 25 September 2014
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...
Boundary Value Problems 2014 2014:179
Published on: 24 September 2014
Research
A sharp theorem by Kiguradze and Partsvania ensures the existence of extremal solutions between given lower and upper solutions for singular Dirichlet problems. This paper has a twofold purpose: first, we pres...
Boundary Value Problems 2014 2014:160
Published on: 24 September 2014
Research
In this paper, we study the initial boundary value problem of a coupled Euler-Bernoulli plate system with spatially varying coefficients of viscosity, damping and source term in a bounded domain. We prove that...
Boundary Value Problems 2014 2014:169
Published on: 24 September 2014
Research
For the singular in phase variables differential equation
Boundary Value Problems 2014 2014:147
Published on: 23 September 2014
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...
Boundary Value Problems 2014 2014:157
Published on: 23 September 2014
Research
By using an infinitely many critical points theorem, we study the existence of infinitely many solutions for a fourth-order nonlinear boundary value problem, depending on two real parameters. No symmetric cond...
Boundary Value Problems 2014 2014:191
Published on: 23 September 2014
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.
Boundary Value Problems 2014 2014:176
Published on: 23 September 2014
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...
Boundary Value Problems 2014 2014:137
Published on: 10 September 2014
Research
The general linear boundary value problem for an abstract functional differential equation is considered in the case that the number of boundary conditions is greater than the dimension of the null-space to th...
Boundary Value Problems 2014 2014:140
Published on: 11 July 2014
Research
Boundary Value Problems 2014 2014:127
Published on: 20 May 2014
Research Article
Boundary Value Problems 2014 2014:121
Published on: 16 May 2014
Research
In this work, we establish the existence and multiplicity results of positive solutions for one-dimensional prescribed mean curvature equations. Our approach is based on fixed point index theory for completely...
Boundary Value Problems 2014 2014:120
Published on: 16 May 2014
Research
Inequalities for periodic solutions of first-order functional differential equations are obtained. These inequalities are best possible in a certain sense.
Boundary Value Problems 2014 2014:119
Published on: 15 May 2014
Research Article
Boundary Value Problems 2014 2014:118
Published on: 14 May 2014
Research
Boundary Value Problems 2014 2014:114
Published on: 14 May 2014
Research
Boundary Value Problems 2014 2014:112
Published on: 13 May 2014
Research
A Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations is established. The theorem generalizes results known for the systems with linear or homogeneous o...
Boundary Value Problems 2014 2014:113
Published on: 13 May 2014
Research
A certain way of replacing a given boundary value problem by another one, a solution of which solves also the original problem, is considered.
Boundary Value Problems 2014 2014:111
Published on: 13 May 2014
Research
We study asymptotic behavior of solutions to a class of odd-order delay differential equations. Our theorems extend and complement a number of related results reported in the literature. An illustrative exampl...
Boundary Value Problems 2014 2014:107
Published on: 9 May 2014
Research
In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fourth-order differential equations. The notions of classical and weak solutions are introduce...
Boundary Value Problems 2014 2014:105
Published on: 8 May 2014
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...
Boundary Value Problems 2014 2014:103
Published on: 7 May 2014
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...
Boundary Value Problems 2014 2014:101
Published on: 7 May 2014
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...
Boundary Value Problems 2014 2014:99
Published on: 7 May 2014
Research
Boundary Value Problems 2014 2014:102
Published on: 7 May 2014
Research
This work is devoted to the study of n th-order ordinary differential equations on a half-line with Sturm-Liouville boundary conditions. The existence results of a solution, and triple solutions, are established ...
Boundary Value Problems 2014 2014:100
Published on: 7 May 2014
Research
Boundary Value Problems 2014 2014:87
Published on: 5 May 2014
Research
Boundary Value Problems 2014 2014:83
Published on: 10 April 2014
Research
This paper investigates the higher order differential equations with nonlocal boundary conditions
Boundary Value Problems 2014 2014:74
Published on: 28 March 2014
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
Boundary Value Problems 2014 2014:71
Published on: 26 March 2014
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...
Boundary Value Problems 2014 2014:69
Published on: 25 March 2014
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 ...
Boundary Value Problems 2014 2014:68
Published on: 24 March 2014
Research
This paper deals with the resonance problem for the one-dimensional p-Laplacian with homogeneous Dirichlet boundary conditions and with nonlinear impulses in the derivative of the solution at prescribed points. T...
Boundary Value Problems 2014 2014:64
Published on: 24 March 2014
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...
Boundary Value Problems 2014 2014:67
Published on: 24 March 2014
Research
Boundary Value Problems 2014 2014:62
Published on: 21 March 2014
Research
We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions. The nonsingular and singula...
Boundary Value Problems 2014 2014:60
Published on: 20 March 2014
Research
Consider the singular Dirichlet problem
Boundary Value Problems 2014 2014:59
Published on: 18 March 2014
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...
Boundary Value Problems 2014 2014:56
Published on: 14 March 2014
Research
The coefficients and delays in models describing various processes are usually obtained as a results of measurements and can be obtained only approximately. We deal with the question of how to estimate the inf...
Boundary Value Problems 2014 2014:55
Published on: 12 March 2014
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...
Boundary Value Problems 2014 2014:53
Published on: 12 March 2014
Research
This paper is devoted to the study of existence and dependence of solutions of the first-order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The methods used are mai...
Boundary Value Problems 2014 2014:54
Published on: 12 March 2014
Research
New effective conditions are found for the validity of a theorem on differential inequalities corresponding to the Darboux problem for linear hyperbolic differential equations with argument deviations.
Boundary Value Problems 2014 2014:52
Published on: 12 March 2014