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nonlinear second order systems

Nonlinear Systems of Second-Order ODEs

Nonlinear Systems of Second-Order ODEs

... The existence of solutions will be obtained using a combination among the method of truncation, a priori bounded and Krasnosel’skii well-known result on fixed point indices in cones. The main con- tribution here is that ...

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Approximate Solutions of Second Order Strongly and High Order Nonlinear Duffing Equation with Slowly Varying Coefficients in Presence of Small Damping

Approximate Solutions of Second Order Strongly and High Order Nonlinear Duffing Equation with Slowly Varying Coefficients in Presence of Small Damping

... solving second order strongly and high order nonlinear differential systems with slowly varying coefficients in presence of small damping based on the extended form of the KBM [1-3] ...

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Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems

Discontinuous Galerkin finite element approximation of nonlinear second order elliptic and hyperbolic systems

... As our key objective here was to understand the analysis of discontinuous Galerkin approximations of locally Lipschitz spatial nonlinearities in quasi-linear elliptic and hyperbolic systems, we did not discuss ...

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A note on existence of infinitely many periodic solutions for second order nonlinear difference systems

A note on existence of infinitely many periodic solutions for second order nonlinear difference systems

... Hamiltonian systems and obtain the solvability condition of a periodic solution for discrete systems, based on operator ...study second-order discrete Hamiltonian systems, with an ...

10

Adaptive second order Volterra series filter for removing noise from nonlinear system

Adaptive second order Volterra series filter for removing noise from nonlinear system

... non-linear systems. Taylor series.If the output of a nonlinear system depends strictly on the input at that particular time, Taylor series can be used for approximating its response the Volterra series, the ...

5

Asymptotic Method for Certain over-Damped Nonlinear Vibrating Systems

Asymptotic Method for Certain over-Damped Nonlinear Vibrating Systems

... cerning the presented KBM method of this article, we refer to the works of Murty et,.al [5] (who found an over- damped solution of a second order nonlinear system with constant coefficients), and ...

5

Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems

Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems

... for second order impulsive di ff erential systems,” Nonlinear Analysis: Theory, Methods & Applications, ...of nonlinear systems of differential equations with impulse effect,” ...

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Nonlinear Evolution Equations for Second-order Spectral Problem

Nonlinear Evolution Equations for Second-order Spectral Problem

... Shujuan Yuan was born in Tangshan, Hebei, September, 1980. Received M.S. degree in 2007 from School of Sciences, Hebei University of Technology, Tianjin, China. Current research interests include integrable ...

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DYNAMICS OF A SECOND-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS

DYNAMICS OF A SECOND-ORDER SYSTEM OF NONLINEAR DIFFERENCE EQUATIONS

... dynamical systems are a fertile research area, not only in mathematics but also in many applied science such as economics, ...dynamic systems apply to di¤erent …elds of science as mathematical ...dynamical ...

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Jarratt Second Order Method System of Nonlinear Equations

Jarratt Second Order Method System of Nonlinear Equations

... that systems of nonlinear equations arise frequently in science and engineering they have attracted researcher's ...example, nonlinear systems of equations, after the necessary processing step ...

5

Fixed-time stabilization of second-order systems with unknown nonlinear inherent dynamics

Fixed-time stabilization of second-order systems with unknown nonlinear inherent dynamics

... the nonlinear system (5) such that the origin of the closed-loop system is a globally fixed-time ...unknown nonlinear dynamics, the following assumption is ...

6

Oscillatory Criteria for the Two Dimensional Difference Systems

Oscillatory Criteria for the Two Dimensional Difference Systems

... of second-order nonlinear difference equations has attracted the attention of many mathematicians because of its physical applications 2, ...for second-order nonlinear difference ...

13

Adomian Decomposition Method for Solving Goursat's Problems

Adomian Decomposition Method for Solving Goursat's Problems

... and nonlinear hyperbolic equations of second-order, systems of nonlinear hyperbolic equations and fourth-order linear hyperbolic equations in which the attached conditions are ...

6

Approximate solutionsof Damped Nonlinear Vibrating System with Varying Coefficients under Some Conditions

Approximate solutionsof Damped Nonlinear Vibrating System with Varying Coefficients under Some Conditions

... of second order damped nonlinear systems has been found in this ...In order to test the accuracy of an approximate solution obtained by a certain perturbation method, one compares the ...

5

An Approximate Technique for Solving Second Order Strongly Nonlinear Differential Systems with High Order Nonlinearity in Presence of Small Damping

An Approximate Technique for Solving Second Order Strongly Nonlinear Differential Systems with High Order Nonlinearity in Presence of Small Damping

... quadratic nonlinear differential systems with damping ...solving second order strongly nonlinear generalized Duffing equation with small ...studied nonlinear differential ...

9

The anisotropy of the second-order nonlinear susceptibility of RI3*3S8 crystals

The anisotropy of the second-order nonlinear susceptibility of RI3*3S8 crystals

... in order to determine values of the Pockels coefficients, r^, governing this ...of second harmonic generation (SHG) efficiency made using the pow der tech n iq u e 16 with ...

185

Vol 9, No 7 (2018)

Vol 9, No 7 (2018)

... Wang, Oscillatory behavior of solutions for a class of second order nonlinear differential equation with perturbation, Acta Appl. Wang, Oscillation of second order nonlinear neutral dyn[r] ...

5

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient

... theory can be used to infer how a Newton-MG iteration will perform for a nonlinear problem. Sophisticated algorithms may be developed by tak- ing advantage of the knowledge of these two methods individually, such ...

29

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient

Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient

... theory can be used to infer how a Newton-MG iteration will perform for a nonlinear problem. Sophisticated algorithms may be developed by tak- ing advantage of the knowledge of these two methods individually, such ...

30

Oscillation criteria for second order nonlinear dynamic equations

Oscillation criteria for second order nonlinear dynamic equations

... where the function φ will be defined in the next section. We will still assume that the functions r(t), p(t), and q(t) change sign for arbitrarily large values of t, and conditions (A), (B), and (C) are not needed. Hence, ...

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