Research
Boundary Value Problems 2016 2016:32
Published on: 5 February 2016
Differential equations with nonlocal and functional conditions have become an active area of research. Their study is driven not only by theoretical interest, but also to the fact that these type of problems occur naturally when modeling real world applications. For example, several phenomena in engineering, physics and life sciences can be described by means of differential equations subject to nonlocal boundary conditions: one may consider problems with feedback controls, such as the steady-states of a thermostat, where a controller at one of its ends adds or removes heat, depending upon the temperature registered in another point, or phenomena with functional dependence in the equation and/or in the boundary conditions, with delays or advances, maximum or minimum arguments, such as beams where the maximum (minimum) of the deflection is attained in some interior or end point of the beam.
Edited by: Gennaro Infante, To Fu Ma and Feliz Minhos
Research
Boundary Value Problems 2016 2016:32
Published on: 5 February 2016
Research
In this paper, we study some new class of nonlocal three-point fractional q-integral boundary value problems of a nonlinear fractional q-difference equation and a nonlinear fractional q-integrodifference equation...
Boundary Value Problems 2016 2016:12
Published on: 13 January 2016
Research
In this paper, we study the existence of the positive solutions for a class of high-order differential equations with multi-point boundary value conditions involving the Caputo fractional derivative on infinit...
Boundary Value Problems 2016 2016:5
Published on: 8 January 2016
Review
Boundary Value Problems 2015 2015:228
Published on: 4 December 2015
Research
In this paper we consider a class of elliptic problems of p-Kirchhoff type with critical exponent in bounded domains and new results as regards the existence and multiplicity of solutions are obtained by using th...
Boundary Value Problems 2015 2015:223
Published on: 2 December 2015
Research
Using a well-known fixed point theorem on cones, we study the number of positive solutions for a second-order differential equation with integral boundary conditions and deviating arguments. We discuss our pro...
Boundary Value Problems 2015 2015:222
Published on: 2 December 2015
Research
This paper is concerned with a nonlinear Timoshenko system modeling clamped thin elastic beams with time delay. The delay is defined on a feedback term associated to the equation for rotation angle. Under suit...
Boundary Value Problems 2015 2015:206
Published on: 10 November 2015
Research
In this paper, by using the topological degree and fixed point index theory, the existence of three kinds of solutions (i.e., sign-changing solutions, positive solutions, and negative solutions) for asymptoticall...
Boundary Value Problems 2015 2015:184
Published on: 9 October 2015
Research
Using the theory of fixed point index, we discuss existence, non-existence, localization and multiplicity of positive solutions for a
Boundary Value Problems 2015 2015:163
Published on: 17 September 2015
Research
In this paper we have dealt with controlling a boundary condition of a parabolic system in one dimension. This control aims to find the best appropriate right-hand side boundary function which ensures the clos...
Boundary Value Problems 2015 2015:166
Published on: 17 September 2015
Research
A non-classical initial and boundary value problem for a non-homogeneous one-dimensional heat equation for a semi-infinite material with a zero temperature boundary condition is studied. It is not a standard h...
Boundary Value Problems 2015 2015:156
Published on: 4 September 2015
Research
In this article, we establish higher-order regularizing rate estimates of solutions to generalized magneto-hydrodynamic equations in Morrey spaces with initial data ...
Boundary Value Problems 2015 2015:155
Published on: 4 September 2015
Research
We deal with some generalizations on a Black-Scholes model arising in financial mathematics. As a novelty in this paper, we consider a variable volatility and abstract functional boundary conditions, which all...
Boundary Value Problems 2015 2015:145
Published on: 22 August 2015
Research
This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation
Boundary Value Problems 2015 2015:142
Published on: 16 August 2015
Research
We investigate the nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with coupled integral boundary conditions.
Boundary Value Problems 2015 2015:138
Published on: 13 August 2015
Research
Boundary Value Problems 2015 2015:137
Published on: 11 August 2015
Research
By using the cone theory and the Banach contraction mapping principle, we study the existence and uniqueness of an iterative solution to the singular nth-order nonlocal boundary value problems.
Boundary Value Problems 2015 2015:125
Published on: 31 July 2015
Research
In this paper, we investigate the existence of a compact random attractor for the random dynamical system generated by a model for nonlinear oscillations in a floating beam equation with strong damping and whi...
Boundary Value Problems 2015 2015:126
Published on: 31 July 2015
Research
Boundary Value Problems 2015 2015:108
Published on: 24 June 2015
Research
Boundary Value Problems 2015 2015:107
Published on: 24 June 2015
Research
Sufficient conditions in terms of growth restrictions are given for the solvability of the Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and d...
Boundary Value Problems 2015 2015:106
Published on: 24 June 2015
Research
In this paper, we consider the initial boundary value problem for a fourth order nonlinear pseudo-parabolic equation with a nonlocal source. By using the concavity method, we establish a blow-up result of the ...
Boundary Value Problems 2015 2015:109
Published on: 24 June 2015
Research
In this paper, the Chebyshev Gauss-Lobatto pseudospectral scheme is investigated in spatial directions for solving one-dimensional, coupled, and two-dimensional parabolic partial differential equations with ti...
Boundary Value Problems 2015 2015:103
Published on: 19 June 2015
Research
In this paper, the existence of the solutions of the fractional differential equation with p-Laplacian operator and integral conditions is discussed. By Green’s functions and the fixed point theorems, we state an...
Boundary Value Problems 2015 2015:99
Published on: 14 June 2015
Research
In this paper, we investigate a class of fractional Schrödinger equations with perturbation. By using the mountain pass theorem and Ekeland’s variational principle, we see that such equations possess two solut...
Boundary Value Problems 2015 2015:56
Published on: 31 March 2015
Research Article
We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions. The main result states that if the nonlinearities posse...
Boundary Value Problems 2015 2015:53
Published on: 21 March 2015