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Solutions to the free boundary value problem

Radial solutions for a nonlocal boundary value problem

Radial solutions for a nonlocal boundary value problem

... BOUNDARY VALUE PROBLEM RICARDO ENGUIC¸A AND LU´IS SANCHEZ Received 23 August 2005; Revised 20 December 2005; Accepted 22 December 2005 We consider the boundary value problem for ...

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Solutions to a Three Point Boundary Value Problem

Solutions to a Three Point Boundary Value Problem

... multiple solutions to the three-point boundary value problem u t atft, ut, u t 0, 0 < t < 1; u0 u 0 0; u 1 − αu η λ, where η ∈ 0, 1/2, α ∈ 1/2η, 1/η are constants, λ ∈ 0, ∞ is a parameter, and ...

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Nontrivial solutions for a fractional boundary value problem

Nontrivial solutions for a fractional boundary value problem

... In [], El-Shahed and Nieto investigated the existence of nontrivial solutions for a multi- point boundary value problem for fractional differential equations. Under certain growth conditions ...

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Solutions for a fractional difference boundary value problem

Solutions for a fractional difference boundary value problem

... discrete problem via critical point theory, the authors are interested in the existence of at least one solution or infinitely many ...that problem (.) has many solutions if the nonlinearity is ...

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Nontrivial solutions for a boundary value problem with integral boundary conditions

Nontrivial solutions for a boundary value problem with integral boundary conditions

... Full list of author information is available at the end of the article Abstract This paper concerns the existence of nontrivial solutions for a boundary value problem with integral ...

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Positive Solutions for a Boundary Value Problem with a Derivative Argument

Positive Solutions for a Boundary Value Problem with a Derivative Argument

... Received 2013 ABSTRACT In this paper, several existence results of multiple positive solutions are obtained for a boundary value problem with p-Laplacian, by applying a fixed point theorem in ...

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On the fundamental solutions of a discontinuous fractional boundary value problem

On the fundamental solutions of a discontinuous fractional boundary value problem

... Sturm-Liouville problem with transmission ...fractional boundary value problem involving an operator with two ...main problem coincide with the eigenvalues and corresponding ...

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Existence of solutions for a mixed fractional boundary value problem

Existence of solutions for a mixed fractional boundary value problem

... of solutions for a boundary value problem involving both left Riemann-Liouville and right Caputo-type fractional ...posed problem to a sum of two integral operators, then we apply ...

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The existence of positive solutions for an elliptic
boundary value problem

The existence of positive solutions for an elliptic boundary value problem

... ELLIPTIC BOUNDARY VALUE PROBLEM ...positive solutions for the equation − ∆u(x) = λ(u | u | + u)(x) for x ∈ Ω together with Dirichlet boundary conditions and show that for every λ < λ 1 ...

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Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

... integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed point ...

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Multiple unbounded solutions for a boundary value problem on infinite intervals

Multiple unbounded solutions for a boundary value problem on infinite intervals

... unbounded solutions for a Sturm-Liouville boundary value problem on the ...lower solutions, the existence of at least three solutions is obtained using the degree ...

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Infinitely many solutions for a boundary value problem with impulsive effects

Infinitely many solutions for a boundary value problem with impulsive effects

... Dirichlet boundary value problem subject to perturbations of impulsive ...the problem is based on the variational methods and critical point ...many solutions follow from a recent ...

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Positive solutions for a system of fractional integral boundary value problem

Positive solutions for a system of fractional integral boundary value problem

... by the method of multi-point problems (see []). On the other hand, we all know that the Riemann-Stieltjes integral, as in the form of  u(s) dη(s), where η is of bounded variation, that is, dη can be a signed measure, ...

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EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR A DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM

... discrete boundary value problems with fractional order 0 < α ≤ 1 and 1 < α ≤ 2 have been studied by researchers, very little is known in the literature about discrete fractional equation with order 2 < α ≤ ...

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Positive Solutions of a Four-point Fractional Boundary Value Problem

Positive Solutions of a Four-point Fractional Boundary Value Problem

... Positive Solutions of a Four-point Fractional Boundary Value Problem Hongyan Jia Abstract—In this paper, based on the contraction map prin- ciple and the fixed point index theory, sufficient ...

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Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities

Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities

... When f is a continuous function, results of the existence of infinitely many solutions for problem G 1,0 f,λ are obtained, for example, in 1–7. We observe that in the very interesting paper 6, the authors ...

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Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem

Existence of Symmetric Positive Solutions for an-Point Boundary Value Problem

... m-point boundary value problems for ordinary di ff erential equations arise in a va- riety of different areas of applied mathematics and ...positive solutions for nonlinear second-order multipoint ...

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Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem

Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem

... We are concerned with the existence of positive solutions of singular second-order boundary value problem u t f t, u t 0, t ∈ 0, 1 , u 0 u 1 0, which is not necessarily linearizable. Here, ...

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Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

... of solutions for the following differential equation: x t ft, xt, x t, t ∈ 0, 1, subject to the boundary conditions: x0 αxξ, x 1 1 0 x sdgs, where α ≥ 0, 0 < ξ < 1, f : 0, 1 × R 2 → R is a continuous ...

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Existence of positive solutions of elliptic mixed boundary value problem

Existence of positive solutions of elliptic mixed boundary value problem

... If {u n } is bounded in V , when is bounded and f (x, u), g(x, u) are subcritical, we can get {u n } has a subsequence strong convergence to a critical value of J, and our proof is com- plete. So, to prove the ...

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