highly nonlinear differential equations
Stability of highly nonlinear neutral stochastic differential delay equations
... stochastic differential delay equations (NSDDEs) have been studied intensively for the past several ...or nonlinear but bounded by linear ...as highly nonlinear ...
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Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations
... algebraic, differential, integral, integro-differential, higher order ordinary differential equations, partial differential ...of nonlinear equations without ...
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Stabilisation by delay feedback control for highly nonlinear hybrid stochastic differential equations
... dx(t) = [f (x(t), r(t), t) + u(x(t − τ), r(t), t)]dt + g(x(t), r(t), t)dB(t) (1.3) to be stable. Mao et al. were the first to study this stabilisation problem in [14] by the delay feedback control for hybrid SDEs and ...
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Iterative scheme to a coupled system of highly nonlinear fractional order differential equations
... Abstract In this article, we investigate sufficient conditions for existence of maximal and minimal solutions to a coupled system of highly nonlinear differential equations of fractional order with ...
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Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... This paper discusses exponential stability of solutions for highly nonlinear hybrid pantograph stochastic differential equations(PSDEs). Two criteria are proposed to guarantee exponential ...
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Analysis on exponential stability of hybrid pantograph stochastic differential equations with highly nonlinear coefficients
... This paper discusses exponential stability of solutions for highly nonlinear hybrid pantograph stochastic differential equations(PSDEs). Two criteria are proposed to guarantee exponential ...
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Stability analysis of highly nonlinear hybrid multiple-delay stochastic differential equations
... (1.1) is unstable (see Figure 4.2 ). In other words, whether the hybrid multiple- delay SDE is stable or not depends on how small or large the time-delay is. On the other hand, both drift and diffusion coefficients of the ...
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Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... of equations are linear or nonlinear but bounded by linear ...the highly nonlinear SDDEs by the method of Lyapunov ...hybrid highly nonlin- ear SIDDE in Section ...
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Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... of differential delay equations (DDEs) while [31] contains a nice literature ...stochastic differential delay equations (SDDEs), we mention five books [5, 13, 14, 15, 23] among ...
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Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... Stochastic delay differential equations are widely used to model stochastic systems whose evolution depends on past history of the state. On the other hand, those systems may often experience abrupt changes ...
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On discrete analogues of nonlinear implicit differential equations
... to nonlinear DAEs and PDAEs lead to nonlinear ...differential equations is ...for nonlinear index-1 DAEs and nonlinear index-1 IDEs as well as the convergence of the explicit Euler ...
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Approximate controllability and regularity for nonlinear differential equations
... the nonlinear term, which is a Lipschitz continuous operator, is a semilinear ver- sion of the quasi-linear ...the nonlinear mapping k be Lipschitz continuous from ℝ × [- h, 0] × V into ...quasi-autonomous ...
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Properties of third order nonlinear differential equations
... Various techniques were established for examination of (E) and its particular cases. In the articles [–], the authors have introduced comparison theorems for comparing stud- ied equation with a set of the first order ...
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Nonlinear Transformation of Differential Equations into Phase Space
... Time-frequency representations transform a one-dimensional function into a two-dimensional function in the phase-space of time and frequency. The transformation to accomplish is a nonlinear transformation and ...
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Oscillations of Solutions of Neutral Nonlinear Differential Equations
... of differential equations with deviating arguments is a relatively new and rapidly developing branch of the theory of ordinary differential equation, numerous research papers have been devoted to ...
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STABILITY AND CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
... In this work, we have investigated nonlinear partial differential equations written in the general form (1.1). In this form, the function f (x, t, p, q) can be defined in many different ways ...
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Equivalent differential equations for nonlinear dynamical systems
... In Chapt e r III, the relationship b e tween the differ<~ntia l equation error (the differ e nce between the original system and the equivalent system) and the sol[r] ...
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Stabilisation and destabilisation of nonlinear differential equations by noise
... The main results of the paper are the following. First, given an equa- tion (1.1) where f is locally Lipschitz continuous, it is always possible to design a noise perturbation g such that all solutions of (1.2) tend to ...
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Similarity Reduction of Nonlinear Partial Differential Equations
... The homogenous balance (HB) method is a powerful tool to find solitary wave solutions of nonlinear partial differential equations. Fan et al. [5] presented an improved HB method to obtain more other ...
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Symmetry Reduction and Explicit Solutions of the (2 + 1) Dimensional DLW Equation
... Utilizing the Clarkson-Kruskal direct method, the symmetry of the (2 + 1)-dimensional dispersive long wave equation is derived. From which, through solving the characteristic equations, four types of the explicit ...
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