[PDF] Top 20 Nonlinear Systems of Second-Order ODEs

... of type 1.1 have been extensively studied in the literature under different sets of conditions on the nonlinearities. For instance, assuming superlinear hypothesis, many authors have ob- tained multiplicity of solutions ... See full document

... for systems of second-order quasi-linear hyperbolic equations of the form ...a nonlinear projection operator whose approximation properties are analyzed, closely following section 5, in ... See full document

... dynamic systems, however, nonlinear systems are widely prevalent in applica- ...first-order nonlinear systems, the fixed- time stability and the fixed-time synchronization of ... See full document

... solving second order strongly nonlinear differential systems with high (nine) order nonlinearity in presence of small damping based on the He’s homotopy perturbation and the extended ... See full document

... However, similarly to what was pointed in [], (F ) does not hold if T t= f (t) is bounded. Therefore, it is necessary to improve condition (F ). Inspired by [, , ], in this paper, we will use minmax methods to ... See full document

... 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 ... See full document

... oscillating systems with slowly varying parameters, damping, and delay Alam et ...weakly nonlinear systems with large ...strongly nonlinear differential systems with cubic nonlinearity ... See full document

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

... 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 ... See full document

... 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 ... See full document

... Abstract—Soliton equations are infinite-dimensional integrable systems described by nonlinear evolution equations. As one of the soliton equations, long wave equation takes on profound significance of ... See full document

... f x = f x + ∫ f ′ t t , proposed the Newton-type method with third-order convergence for nonlinear equa- tion and systems. M. Darvishi and A. Barati [6] received a third-order convergence ... See full document

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

... In this paper, we build the integral collocation method by using the second shifted Chebyshev polynomials. The numerical method solving the model non-linear such as Riccati differential equation, Logistic ... See full document

... for nonlinear ordinary di ff erential equations with solutions without moving critical points (critical points, the location of which de- pends on the initial conditions to the differential equation)—so named ... See full document

... Nonlinear ordinary differential equations ODEs described a majority of engineering problems. When boundary conditions are imposed, the resulting problems are referred to as boundary value problems BVPs. ... See full document

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

... [3] R. P. Agarwal, E. Thandapani, and P. J. Y. Wong, Oscillations of higher-order neutral differ- ence equations, Appl. Math. Lett. 10 (1997), no. 1, 71–78. CMP 97 07. Zbl 890.39019. [4] M. P. Chen, B. S. Lalli, ... See full document

... In this section we present some numerical results by applying the constructed methods of orders five and six in Sec. 3, in order to demonstrate the theo- retical expectations. Computational experiments are carried ... See full document

... of nonlinear three-point boundary value problems of the type − x t f t, x t , y t , t ∈ 0, 1 , − y t g t, x t , y t , t ∈ 0, 1 , x0 y0 0, x1 αxη, y1 αyη, is ... See full document