Editorial
Boundary Value Problems 2013 2013:276
Published on: 13 December 2013
Editorial
Boundary Value Problems 2013 2013:276
Published on: 13 December 2013
Research
We prove some multiplicity results for a class of one-dimensional nonlinear Schrödinger-type equations of the form
Boundary Value Problems 2013 2013:167
Published on: 15 July 2013
Research
We state existence and localisation results for a fully nonlinear boundary value problem using the upper and lower solutions method. With this study we aim to contribute to a better understanding of some analy...
Boundary Value Problems 2013 2013:146
Published on: 13 June 2013
Research
In this note we consider the classical Massera theorem, which proves the uniqueness of a periodic solution for the Liénard equation
Boundary Value Problems 2013 2013:144
Published on: 11 June 2013
Research
In this note, some coincidence and common fixed points of nonlinear hybrid mappings have been obtained under certain noncommutativity conditions of mappings. Our results improve several known results in the fi...
Boundary Value Problems 2013 2013:145
Published on: 11 June 2013
Review
The aim of this article is to describe some fundamental contributions of Jean Mawhin to critical point theory and its applications to boundary value problems.
Boundary Value Problems 2013 2013:115
Published on: 7 May 2013
Research
In this paper, we study the existence of infinitely many periodic solutions to planar radially symmetric systems with certain strong repulsive singularities near the origin and with some semilinear growth near...
Boundary Value Problems 2013 2013:110
Published on: 29 April 2013
Research
The paper deals with the problem of the existence of a branch of T-periodic solutions originating from the isolated limit cycle of an autonomous parabolic equation in a Banach space when it is perturbed by a nonl...
Boundary Value Problems 2013 2013:101
Published on: 23 April 2013
Research
Boundary Value Problems 2013 2013:91
Published on: 15 April 2013
Research
We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line
Boundary Value Problems 2013 2013:89
Published on: 12 April 2013
Research
Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a first-order periodic boundar...
Boundary Value Problems 2013 2013:86
Published on: 11 April 2013
Research
Boundary Value Problems 2013 2013:81
Published on: 10 April 2013
Research
We approximate impact systems in arbitrary finite dimensions with fast-slow dynamics represented by regular ODE on one side of the impact manifold and singular ODE on the other. Lyapunov-Schmidt method leading...
Boundary Value Problems 2013 2013:71
Published on: 3 April 2013
Research
In this short note we study a simple discrete Fučík spectrum. Trying to imitate standard continuous pasting procedures, we derive a more complicated discrete analogue - anchoring. Using this technique, we show...
Boundary Value Problems 2013 2013:67
Published on: 29 March 2013
Research
Near an equilibrium we study the existence of asymptotically a.p. (almost periodic), asymptotically a.a. (almost automorphic), pseudo a.p., pseudo a.a., weighed pseudo a.p. and weighed pseudo a.a. solutions of...
Boundary Value Problems 2013 2013:66
Published on: 29 March 2013
Research
We put forward the notion of unconditional convergence to an equilibrium of a difference equation. Roughly speaking, it means that can be constructed a wide family of higher order difference equations, which inhe...
Boundary Value Problems 2013 2013:63
Published on: 28 March 2013
Research
A semilinear multivalued evolution equation is considered in a reflexive Banach space. The nonlinear term has convex, closed, bounded values and a weakly sequentially closed graph when restricted to its second...
Boundary Value Problems 2013 2013:60
Published on: 26 March 2013
Research
For a constructive analysis of the periodic boundary value problem for systems of non-linear non-autonomous ordinary differential equations, a numerical-analytic approach is developed, which allows one to both...
Boundary Value Problems 2013 2013:57
Published on: 22 March 2013
Research
Sufficient conditions are established guaranteeing the existence of a positive ω-periodic solution to the equation
Boundary Value Problems 2013 2013:47
Published on: 6 March 2013
Research
In this paper we study the initial-boundary value problem of the multidimensional viscoelasticity equation with nonlinear source term
Boundary Value Problems 2013 2013:42
Published on: 1 March 2013
Research
Based on the fixed point index and partial order method, one new order-type existence theorem concerning cone expansion and compression is established. As applications, we present sufficient existence conditio...
Boundary Value Problems 2013 2013:37
Published on: 21 February 2013
Research
In this article, we study the periodic solution of a quasilinear parabolic equation with nonlocal terms and Neumann boundary conditions. By using the theory of Leray-Schauder degree, we obtain the existence of...
Boundary Value Problems 2013 2013:34
Published on: 21 February 2013
Research
The paper deals with the second-order Dirichlet boundary value problem with one state-dependent impulse
Boundary Value Problems 2013 2013:22
Published on: 11 February 2013
Research
In the paper we provide sufficient conditions for the existence of positive solutions for some second-order differential equation subject to periodic boundary conditions. Our method employs a Leggett-Williams ...
Boundary Value Problems 2013 2013:19
Published on: 11 February 2013
Research
The existence and localization result is obtained for a multivalued Dirichlet problem in a Banach space. The upper-Carathéodory and Marchaud right-hand sides are treated separately because in the latter case, ...
Boundary Value Problems 2013 2013:25
Published on: 11 February 2013
Research
We consider T-periodic parametrized retarded functional differential equations, with infinite delay, on (possibly) noncompact manifolds. Using a topological approach, based on the notions of degree of a tangent v...
Boundary Value Problems 2013 2013:21
Published on: 11 February 2013
Research
In this paper, we study the multiplicity of positive doubly periodic solutions for a singular semipositone telegraph equation. The proof is based on a well-known fixed point theorem in a cone.
Boundary Value Problems 2013 2013:7
Published on: 16 January 2013
Research
We study the existence of positive solutions of a nonlinear fractional heat equation with nonlocal boundary conditions depending on a positive parameter. Our results extend the second-order thermostat model to...
Boundary Value Problems 2013 2013:5
Published on: 16 January 2013
Research
In this paper, we discuss the existence of positive solutions to the singular Dirichlet boundary value problems (BVPs) for ordinary differential equations (ODEs) of the form
Boundary Value Problems 2013 2013:6
Published on: 16 January 2013
Research
In this paper, we discuss the existence of positive solutions for second-order differential equations subject to nonlinear impulsive conditions and non-separated periodic boundary value conditions. Our criteri...
Boundary Value Problems 2013 2013:3
Published on: 14 January 2013
Research
Boundary Value Problems 2012 2012:152
Published on: 28 December 2012
Research
The spaces of semi-periodic sequences and functions are examined in the relationship to the closely related notions of almost-periodicity, quasi-periodicity and periodicity. Besides the main theorems, several ...
Boundary Value Problems 2012 2012:141
Published on: 28 November 2012
Research
In this note, we study the existence and multiplicity of solutions for the quasilinear elliptic problem as follows:
Boundary Value Problems 2012 2012:136
Published on: 22 November 2012
Research
We will consider the nonhomogeneous ϕ-Laplacian differential equation
Boundary Value Problems 2012 2012:130
Published on: 12 November 2012
Research
In this article, by employing a fixed point theorem in cones, we investigate the existence of a positive solution for a class of singular semipositone fractional differential equations with integral boundary c...
Boundary Value Problems 2012 2012:123
Published on: 24 October 2012
Research
In this paper we study the existence of even positive homoclinic solutions for p-Laplacian ordinary differential equations (ODEs) of the type
Boundary Value Problems 2012 2012:121
Published on: 24 October 2012
Research
By means of the Leray-Schauder degree theory, we establish some sufficient conditions for the existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations.
Boundary Value Problems 2012 2012:109
Published on: 9 October 2012
Research
A regular fourth order differential equation with λ-dependent boundary conditions is considered. For four distinct cases with exactly one λ-independent boundary condition, the asymptotic eigenvalue distribution i...
Boundary Value Problems 2012 2012:106
Published on: 4 October 2012
Research
Boundary Value Problems 2012 2012:104
Published on: 19 September 2012
Research
In this paper, we investigate the existence of positive solutions for a class of third-order nonlocal boundary value problems at resonance. Our results are based on the Leggett-Williams norm-type theorem, whic...
Boundary Value Problems 2012 2012:102
Published on: 18 September 2012
Research
We consider a time-periodic boundary value problem of n th order ordinary differential operator which appears typically in Heaviside cable and Thomson cable theory. We calculate the best constant and a family of ...
Boundary Value Problems 2012 2012:95
Published on: 31 August 2012
Research
In this article, we present some new existence and uniqueness results for nonlinear fractional integro-differential equations with m-point multi-term fractional order integral boundary conditions. Our results are...
Boundary Value Problems 2012 2012:94
Published on: 30 August 2012
Research
Schauder’s fixed-point theorem, which applies for continuous operators, is used in this paper, perhaps unexpectedly, to prove existence of solutions to discontinuous problems. Moreover, we introduce a new vers...
Boundary Value Problems 2012 2012:92
Published on: 21 August 2012
Research
In this paper, we study the existence and multiplicity results of solutions for some class of fractional differential inclusions with boundary conditions. Some existence and multiplicity results of solutions a...
Boundary Value Problems 2012 2012:82
Published on: 31 July 2012