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 ...
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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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Reversed S shaped connected component for a fourth order boundary value problem
... where the nonlinearity f is asymptotic linear near , superlinear at some point, and sub- linear near ∞. Based upon Rabinowitz’s global bifurcation theorem, they proved that an unbounded subcontinuum of positive ...
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Nonlinear fourth order boundary value problem
... nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite interval in which the lim-4 case holds for fourth order differential ...
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S-shaped connected component for the fourth-order boundary value problem
... As we mentioned before, the change of sign of f brings a great difficulty to the solvability of (.), so in this paper, we only consider the nonnegative case. Evidently, if there exists an S-shaped component in the ...
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A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition
... 12 I. T. Kiguradze and B. L. Shekhter, “Singular boundary value problems for second-order ordinary differential equations,” Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh., vol. 30, ...
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Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
... nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of Leray-Schauder, the fixed point theory, and the method of upper and ...
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MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION
... Abstract. We establish the existence of at least three distinct weak solutions for a fourth-order Sturm-Liouville type problem under appropriate hypotheses. Our main tools are based on variational ...
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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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The Existence and Multiplicity of Solutions for Singular Boundary Value Systems with p Laplacian
... This paper presents sufficient conditions for the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian operator. The existence of single ...
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A nonlinear boundary value problem for fourth-order elastic beam equations
... of problem arises in the study of deflections of elastic beams on nonlinear elastic ...The problem has the following physical descrip- tion: a thin flexible elastic beam of length is clamped at its left end ...
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Multiple positive solutions for a fourth-order integral boundary value problem on time scales
... 21. Li, YK, Shu, J: Solvability of boundary value problems with Riemann-Stieltjes -integral conditions for second-order dynamic equations on time scales at resonance. Adv Diff Equ. 2011, 42 (2011). ...
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Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of
... of boundary value problems for a 2m-th order parabolic equation in H¨ older spaces for noncylindrical domains (of the same kind but which cannot include our domain) with a nonsmooth (in t) lateral ...
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On the Nonexistence and Existence of Solutions for a Fourth Order Discrete Boundary Value Problem
... The papers 17–20 show that the critical point theory is an effective approach to the study of the boundary value problems of difference equations. In this paper, we will use critical point theory to establish ...
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Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales
... The study of dynamic equations on time scales goes back to its founder Hilger 3 and it is a new area of still fairly theoretical exploration in mathematics. In the recent years boundary value problem ...
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Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem
... the fourth-order two- point boundary value problem x″″ + kx″ + lx = f ( t,x ), 0 < t < 1, x ( 0 ) = x (1) = x′ (0) = x′ (1) = 0, where f ( t, x ) Î C ([0,1] × ℝ , ℝ ) satisfies f ...
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Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects
... Fourth-order boundary value problems, including those with the p-Laplacian operator, have their origin in beam theory [, ], ice formation [, ], fluids on lungs [], brain warp- ing [, ], ...
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Equivalence of Sturm-Liouville Problem with Finitely Many δ-Interactions and Matrix Eigenvalue Problems
... eigenvalue problem was first constructed by Volkmer and Zettl in ...eigenvalue problem with exactly the same eigenvalues as the corresponding ...for fourth order boundary value ...
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Two new finite difference methods for computing eigenvalues of a fourth order linear boundary value problem
... A New Fourth-Order Finite Difference Method for Computing Eigenvalues of Fourth-Order Two-Point Boundary Value Problem, IMA Journal of Numerical Analysis, 1983 291-293.. Discrete Approxi[r] ...
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Bifurcation and positive solutions of a nonlinear fourth order dynamic boundary value problem on time scales
... linear fourth-order dynamic boundary value problem on time scales and obtains the existence result of positive solutions to a nonlinear fourth-order dynamic ...
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