nonlinear differential-delay system
Approximate controllability of nonlinear stochastic partial differential systems with infinite delay
... problems are considered in the framework with a novel Banach space, which not only leads to some difficulties in deriving the properties of interest but also bring some opportunities to study the system in a more ...
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Theoretical foundations for traditional and generalized sensitivity functions for nonlinear delay differential equations
... a system of DDEs, which are assumed to be ...the delay distributions are differentiable and parameterizable by a mean and standard ...general nonlinear dynamical systems in a Banach space X where the ...
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Asymptotic behavior of a third order nonlinear neutral delay differential equation
... As is well known, the third-order differential equations are derived from many different areas of applied mathematics and physics, for instance, deflection of buckling beam with a fixed or variable cross-section, three-layer ...
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Legendre Gauss collocation methods for nonlinear neutral delay differential equations
... We investigate the single-step Legendre-Gauss collocation method in Section . The nu- merical errors decay very rapidly as N and r increase. While the single-step collocation method provides accurate results, it is not ...
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Stability of highly nonlinear hybrid stochastic integro-differential delay equations
... highly nonlinear integro- di ff erential system is stable as long as the system time lag τ verifies condition ...the system is stable as condition (3.4) is not verified. Thus, our delay ...
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A new nonlinear impulsive delay differential inequality and its applications
... Hence, by Theorm 3.1, the trivial solution of system (4.2) is exponentially stable. Remark 3.4 It should be noted that the sufficient conditions ensuring the exponential stabilities of (4.1) and (4.2) are easily ...
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Mathematical Modelling Living Systems Regulatory Mechanisms at the Norm and Anomalies
... the system of differential-delay equations and its model systems in the form of functional and discrete ...for differential-delay equations, the discrete model systems are the most ...
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Stability of highly nonlinear neutral stochastic differential delay equations
... The system will switch from one mode to the other according to the probability law of the Markov ...highly nonlinear. Unfortunately, there is so far no delay-dependent criterion which can be applied ...
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Generalised criteria on delay dependent stability of highly nonlinear hybrid stochastic systems
... highly nonlinear hybrid SDDEs are investigated in [10], the stability criteria there are delay-independent which are no applicable to delay-dependent stable hybrid SDDEs, ...the system in ...
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Center Manifold Reduction of the Hopf-Hopf Bifurcation in a Time Delay System
... simple differential delay equation that is motivated by a system of two microbubbles coupled by acoustic forcing, previously studied by Heckman et ...time delay between the two bubbles. The ...
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Chaotic Behavior in Receiver Front-End Limiters
... Abstract—A delay nonlinear differential equation is proposed to investigate the condition of the microwave chaotic behavior existing between the antenna and the front-end protection circuit of a ...
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Some results for a four-point boundary value problems for coupled system involving Caputo derivative
... Differential equations of fractional order have been shown to be very useful in the study of models of many phenomena in various fields of science and engineering, such as electrochemistry, physics, chemistry, ...
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Dhage iteration method for approximating positive solutions of quadratic functional differential equations
... of nonlinear first order quadratic hybrid functional differential equations with delay under certain mixed conditions of algebra, geometry and ...
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Nonoscillatory solutions for higher order nonlinear neutral delay differential equations
... lim t→+∞ g(t) = + ∞ . Utilizing the Banach fixed point theorem, they obtained the existence of bounded nonoscillatory solutions for (.), suggested some algorithms for approximat- ing these bounded nonoscillatory ...
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Forced Oscillation of Nonlinear Fractional Delay Differential Equations with Damping Term
... fractional-order delay differential equations with constant coefficients, Communication in Nonlinear Science and Numerical Simulation 19 (2014) ...fractional differential equations, Advances ...
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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
... The oscillation and asymptotic behavior have extensive applications in the real world, the readers can refer to the monographs [1, 4, 6, 14], and [21] for more details. The problem of obtaining the oscillatory and ...
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Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems
... Fractional differential equations have been of great interest ...tional differential equations arise in rheology, dynamical processes in self similar and porous structures, elec- trical networks, ...
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Periodicity in a System of Differential Equations with Finite Delay
... Floquet theory offers a lot of results on the periodicity of the system (1.1) when τ = 0. In [16], the author extended Floquet theory to non- autonomous linear systems of the form z 0 = A(x)z, where A : C → C is ...
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Exponential stability of highly nonlinear neutral pantograph stochastic differential equations
... of You et al. [22], the paper shall develop exponential stability criteria by the methods of Lyapunov functions and M-matrices for a class hybrid neutral pantograph stochastic differential equations. The rest of ...
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Nonlinear oscillations in disconjugate forced functional equations with deviating arguments
... A Necessary and Sufficient Condition for the Oscllation of an Fven Order Nonlinear Delay Differential Euatlon, Canad.. Impact of Delays on Oscillations in General Functional Eouations, H[r] ...
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