[PDF] Top 20 A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem
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A Study of Periodic Solution of a Duffing’s Equation Using Implicit Function Theorem
... [7] Mishra, L.N., Agarwal, R.P. and Sen, M. (2016) Solvability and Asymptotic Behavior for Some Nonlinear Quadratic Integral Equation Involving Fractional Integrals on the Unbounded Interval. Progress in ... See full document
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Stability Analysis of Periodic Solutions of Some Duffing’s Equations
... periodic solution. Various techniques for investigating the stability of periodic solutions of Duffing’s equation have been reported, (see [7] [8] [9] [10] ...to study stability of ... See full document
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Quasi periodic solutions for non autonomous MKdV equation
... The study in this field is too much to list here, we give only two survey papers [5, ...KAM theorem for unbounded perturbation is still due to Kuksin [17, 18] where it is supposed that d − 1 > ...KdV ... See full document
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Fuzzy Adaptive Control for a Class of Non-Affine Systems via Time Scale Separation
... state equation. For non- affine systems, the implicit function theorem [2] is commonly used to demonstrate the existence of the optimal solution for the control input, but it does not ... See full document
5
On the periodic boundary value problem for Duffing type fractional differential equation with p-Laplacian operator
... By using the continuation theorem of coincidence degree theory, we study the existence of solutions of Duffing type fractional differential equations with a p-Laplacian ... See full document
11
A New Method for the Exact Solution of Duffing Equation
... cubic-quintic Duffing oscillator, Helmholtz–Duffing oscillator, and nonlinear Schrödinger equation are ...Poincaré-Birkhoff theorem to obtain the existence of period- ic solutions to impulsive ... See full document
9
An existence theorem for an implicit integral equation with discontinuous right hand side
... where function ϕ is not supposed continuous with respect to the second ...[3, Theorem A] gives the existence of solutions for ...Carath´eodory function and that f does not depend on t ∈ [0,a]. We ... See full document
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Sinusoidal Time Dependent Power Series Solution to Modified Duffing Equation
... this function in ...solving Equation (1) ...of Implicit Runge Kutta or StiffnessSwitching which is a combination of the explicit and implicit methods solving the ...numeric solution ... See full document
10
Positive periodic solution for p Laplacian neutral damped Duffing equation with strong singularities of attractive and repulsive type
... paper, using the Manásevich–Mawhin theorem on the continuous case of topo- logical degree, we discuss the existence of a positive periodic solution for the p-Laplacian neutral Duffing ... See full document
13
Infinity of subharmonics for Duffing equations with convex and oscillatory nonlinearities
... Proof f is a continuously differentiable function. The existence and uniqueness of the so- lution associated to the initial condition is ensured by the existence-uniqueness theorem. Moreover, the ... See full document
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On the Krasnoselskii’s Fixed Point Theorem and the Existence of Periodic Solution for a Damped and Forced Duffing Oscillator
... of equation (1.1). We refer to [3-5] and reference therein. However, some methods of proving existence have some limitations and in fact for practical purposes serious difficulties arise frequently in the search ... See full document
5
Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order
... auxiliary equation expansion method and its algorithm is proposed by studying a second order nonlinear ordinary differential equation with a four-degree ...(GBL) equation with any ...triangular ... See full document
6
Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
... We study the existence of solutions for a class of fractional differential ...of periodic boundary value conditions. We present Green’s function and give some existence results for the linear case and ... See full document
18
On the domain of the implicit function and applications
... The implicit function theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of equations, as functions of the remaining ... See full document
14
Implicit methods for the first derivative of the solution to heat equation
... this study special difference problems of four point and six point symmetric im- plicit difference schemes for the derivative of the solution u(x, t) of the first type boundary value problem for one ... See full document
21
PERIODIC SIGNAL DETECTION WITH USING DUFFING SYSTEM POINCARE MAP ANALYSIS
... weak periodic signals under strong background noise ...the Duffing oscillator is sensitive to non-stationary input signals but in periodic state it is not sensitive to weak periodic ...the ... See full document
5
Kelvin principle for a class of singular equations
... Using Theorem 1 we can now establish an extension of Kelvin principle to ultrahyperbolic equations.. be a solution of the equation.[r] ... See full document
6
The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes
... In this research, the thermal wave propagation model is solved by using two numerical methods to make comparison between them. In the first method, we used the hybrid technique method of Runge-Kutta fourth or- der ... See full document
10
Implicit Euler time discretization and FDM with Newton method in nonlinear heat transfer modeling
... the partial differential equation (2). The error is 𝑂 𝜏 , hence the discretization scheme is first-order accurate in time. The method is stable, unlike the explicit method, i.e. evaluating the right-hand side of ... See full document
5
On the existence of a periodic solution of a nonlinear ordinary differential equation
... ON THE EXISTENCE OF A PERIODIC SOLUTION OF A NONUNEAR ORDINARY DIFFERENTIAL EQUATION HSlN CHU University of Marylnd College Park, MD 20742.. SUNHONG DING Institute of Mathematical Scienc[r] ... See full document
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