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Fourth-order boundary

Positive solutions for nonlocal fourth-order boundary value problems with all order derivatives

Positive solutions for nonlocal fourth-order boundary value problems with all order derivatives

... a fourth-order ordinary equation boundary value pro- ...the fourth-order boundary value problem has been studied by many authors using non- linear alternatives of Leray-Schauder, ...

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Solvability of a fourth order boundary value problem with periodic boundary conditions II

Solvability of a fourth order boundary value problem with periodic boundary conditions II

... P., Integral type asymptotic conditions for the solvability of a periodic fourth order boundary value problem, in Differential Equations, ed.. Aftabizadeh, Ohio University to appear..[r] ...

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Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems

Study of Stability Analysis for a Class of Fourth Order Boundary Value Problems

... Fourth order differential equations are considered to develop the class of methods for the numer- ical solution of boundary value ...of fourth order boundary value ...a ...

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Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

... second order differential operator which depends quadratically on the eigenvalue parameter and which has eigenvalue parameter dependent boundary conditions, see ...a fourth order differential ...

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Solvability of a fourth order boundary value problem with periodic boundary conditions

Solvability of a fourth order boundary value problem with periodic boundary conditions

... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ...

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Existence and multiple solutions to a discrete fourth order boundary value problem

Existence and multiple solutions to a discrete fourth order boundary value problem

... In this article, we study a discrete fourth order boundary value problem. By making use of variational methods and critical point theory, we obtain some criteria for the existence and multiple ...

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A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition

A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition

... The aim of this paper is to study a fourth-order separated boundary value problem with the right- hand side function satisfying one-sided Nagumo-type condition. By making a series of a priori ...

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Nonlinear fourth order boundary value problem

Nonlinear fourth order boundary value problem

... as well as on the interval [, b], where b < ∞ [] (further see []). We should note that there are several works in the field of the existence and uniqueness theorems of the second order nonlinear ...

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Existence of positive solutions for fourth-order boundary value


problems with three- point boundary conditions

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

... ear boundary value problems; finally, by employing the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions guaranteeing the existence of a positive ...

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S-shaped connected component for the fourth-order boundary value problem

S-shaped connected component for the fourth-order boundary value problem

... the fourth-order prob- lem ...and fourth-order BVPs; for example, for second-order BVPs, the existence of a well-ordered pair of lower and upper solutions is sufficient to ensure the ...

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A variational formalism for the eigenvalues of fourth order boundary value problems

A variational formalism for the eigenvalues of fourth order boundary value problems

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ...

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Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems

... a matrix eigenvalue problem was first constructed by Volkmer and Zettl in [8]. By equivalance of matrix eigenvalue problems for the SLPs with finite spectrum we mean to construct a matrix eigenvalue problem with exactly ...

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Monotone positive solution of a fourth-order BVP with integral boundary conditions

Monotone positive solution of a fourth-order BVP with integral boundary conditions

... that fourth-order boundary value problems models bending equilibria of elastic beams, and have been studied ...with fourth-order boundary value problems, we mention [, ...

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Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions

Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions

... following fourth-order boundary value problem with integral boundary conditions, u 4 t f t, ut, u t, t ∈ 0, 1, u0 0 1 gsusds, u1 0, u 0 0 1 hsu sds, u 1 0, where f : 0, 1 × 0, ∞ × −∞, 0 → 0, ∞ ...

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A nonlinear boundary value problem for fourth-order elastic beam equations

A nonlinear boundary value problem for fourth-order elastic beam equations

... Fourth-order boundary value problems modeling bending equilibria of elastic beams have been considered in several ...null boundary conditions; see [–]. When the boundary conditions ...

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On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem

On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem

... which are used to describe the bending of an elastic beam; see, for example, 1–10 and references therein. Owing to its importance in physics, many methods are applied to study fourth-order boundary ...

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An Efficient Technique for Finding the Eigenvalues of Fourth Order Sturm Liouville Problems

An Efficient Technique for Finding the Eigenvalues of Fourth Order Sturm Liouville Problems

... solve fourth-order ei- genvalue ...of fourth-order non-singular Sturm-Liouville ...to fourth-order ...and fourth- order Sturm-Liouville ...of ...

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Maximum principles for fourth order semilinear elliptic boundary value problems

Maximum principles for fourth order semilinear elliptic boundary value problems

... for fourth order differential equations [1, 2, ...of fourth order semilinear elliptic equations due to Schaefer [7] to a more general fourth order semilinear elliptic equation of ...

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Multiple solutions of fourth-order difference equations with different boundary conditions

Multiple solutions of fourth-order difference equations with different boundary conditions

... of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are ...these boundary value ...

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Sign changing solutions to discrete fourth order Neumann boundary value problems

Sign changing solutions to discrete fourth order Neumann boundary value problems

... However, it seems that there is no similar result in the literature on the existence of sign-changing solutions, positive solutions, and negative solutions for BVP (.), (.). Mo- tivated by [], our purpose is to ...

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