fourth-order differential equation
NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
... a fourth-order differential equation of mixed type with Hilfer operator of fractional integro-differentiation in a positive rectangular domain and with spectral parameter in a negative ...
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Euler case for a general fourth order differential equation
... We deal with an Euler case for a general fourth-order equation and under this case, we obtain the general formula for the asymptotic form of the solutions.. as x → ∞, where x is the inde[r] ...
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Infinitely many solutions for a fourth-order differential equation on a nonlinear elastic foundation
... of fourth-order two-point boundary value problems in de- scribing a large class of elastic deflection, there is a wide literature that deals with the existence and multiplicity results for such a problem ...
10
Asymptotic theory for a critical case for a general fourth order differential equation
... Eastham [5] considged a critical case for 1 l with p q2 0 and showed that this case represents a borderline between situations where all solutions have a certain exponential character as[r] ...
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Fixed point theorem based solvability of fourth order nonlinear differential equation with four-point boundary value conditions
... beam equation and further physical interpretation of that equation can be found in the work of Zill and Cullen [4, ...second order, three order, fourth order as well as higher ...
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A Method for Solving Fuzzy Differential Equations using fourth order Runge-kutta Embedded Heronian Means
... ABSTRACT: In this paper a study has been carried out to find a numerical solution for the first order fuzzy differential equation by using fourth order Runge-kutta method based on ...
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Oscillation criteria for certain nonlinear fourth order equations
... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ...
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The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... partial differential equation, namely, the fourth order Boussinesq equation involving parameters via the G G -expansion ...second order linear ordinary differential ...
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On the oscillation of fourth order delay differential equations
... are investigated. Our newly proposed approach allows us to greatly reduce a number of conditions ensuring that all solutions of the studied equation oscillate. An example is also presented to test the strength and ...
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Application of the Adomian Decomposition Method (ADM) for Solving the Singular Fourth Order Parabolic Partial Differential Equation
... partial differential equations, or by systems of partial differential ...singular fourth-order partial differential ...This equation has been studied in [5], one used the ...
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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... involves adapting Runge-Kutta methods. Thus, we will require to approximate integral terms in (2) at selected values of t in u ~ ( t n ) . Equation (1) can be solved using various methods. In this paper we shall ...
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Existence and uniqueness of nonlinear deflections of an infinite beam resting on a non-uniform nonlinear elastic foundation
... nonlinear fourth-order ordinary differential equation has not been fully ...integral equation for the deflection, which is equiva- lent to the original nonlinear and non-uniform ...
24
Existence of periodic solution for fourth order generalized neutral p Laplacian differential equation with attractive and repulsive singularities
... u(t) – cu(t – δ) + f u(t) u (t) + g t, u(t – τ ) = e(t), (1.2) where c is a constant with |c| < 1, g allowed is to be repulsive singular at u = 0. By applying Mawhin’s continuation theorem, the authors have shown that ...
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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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Tension spline technique for the solution of fourth-order parabolic partial differential equation
... decomposed equation (1.1) in a system of second order equations and have solved them by using cubic B-spline and in Method-II, they have solved equation ...homogeneous fourth-order ...
7
Some results for fourth-order nonlinear differential equation with singularity
... By application of Green’s function and some fixed point theorems, i.e., Leray-Schauder alternative principle and Schauder’s fixed point theorem, we establish two new existence results of positive periodic solutions for a ...
20
On stability and boundedness of solutions of a certain fourth order delay differential equation
... used Lyapunov functions to give sufficient conditions for stability and boundedness of a first-order and a second-order delay differential.. utilized his theorems to determine stability [r] ...
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Solutions to a boundary value problem of a fourth-order impulsive differential equation
... This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ . By employing some existing critical ...
14
Optimal lower bound for the first eigenvalue of fourth order measure differential equation
... Because solutions of (1.2)–(2.10) are defined via fixed point equations, there are many methods to prove the existence and uniqueness of solutions. For example, one can find a proof from [4, 13, 16] based on the ...
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A Note on Stability of Longitudinal Vibrations of an Inhomogeneous Beam
... partial differential equations, particularly, the second order wave equation and the fourth-order Euler-Bernoulli beam ...wave equation in a bounded domain ...
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