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Linear Delay Differential Systems (DDSs)

Exact and Nonstandard Finite Difference Schemes for Coupled Linear Delay Differential Systems

Exact and Nonstandard Finite Difference Schemes for Coupled Linear Delay Differential Systems

... coupled linear delay differential systems, NSFD methods that possess analogous advantages to those in the scalar setting, exhibiting similar properties in terms of accuracy and dynamic ...

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Stabilization of linear systems of delay differential equations by the delayed feedback method

Stabilization of linear systems of delay differential equations by the delayed feedback method

... time delay in a system can cause various complications, but it can be useful in some ...time delay can be a source for instability of an ...oscillatory systems can be stabilized by the delayed feed- ...

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Three ways of treating a linear delay differential equation

Three ways of treating a linear delay differential equation

... ordinary differential equations (ODEs) are used as models to better understand phenomenon occurring in biology, physics and ...technological systems. Another approach which has gained interest in modeling ...

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Boundary Value Problems for Delay Differential Systems

Boundary Value Problems for Delay Differential Systems

... of linear Fredholm’s boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and boundary ...

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Stabilization of Linear Differential-algebraic Equations with Time-varying Delay

Stabilization of Linear Differential-algebraic Equations with Time-varying Delay

... Linear differential-algebraic equations are basic models in control theory (see, ...of linear delay- differential-algebraic equations ...matrix delay differential ...

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Linear Fuzzy Delay Differential System: Analysis on Stability of Steady State

Linear Fuzzy Delay Differential System: Analysis on Stability of Steady State

... control systems explained by time-delay differential ...The delay may appear because of physical properties of equipment used in the system, signal transmission or measurement of system ...of ...

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Oscillation of Second Order Quasi-linear Neutral Delay Differential Equations

Oscillation of Second Order Quasi-linear Neutral Delay Differential Equations

... and Systems Science, Shenyang Normal University, Shenyang, People’s Republic of ...and Systems Science, Shenyang Normal University, Shenyang, People’s Republic of ...neutral delay equation of the ...

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Analytical Algorithm for Systems of Neutral Delay Differential Equations

Analytical Algorithm for Systems of Neutral Delay Differential Equations

... Abstract Delay differential equations (DDEs), as well as neutral delay differential equa- tions (NDDEs), are often used as a fundamental tool to model problems aris- ing from various areas of ...

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Large time behavior of a linear delay differential equation with asymptotically small coefficient

Large time behavior of a linear delay differential equation with asymptotically small coefficient

... 10. Gy ˝ori, I, Ladas, G: Oscillation Theory of Delay Differential Equations with Applications. Oxford University Press, New York (1991) 11. Arino, O, Pituk, M: More on linear differential systems with ...

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Initial functions defining dominant positive solutions of a linear differential equation with delay

Initial functions defining dominant positive solutions of a linear differential equation with delay

... 8. Györi, I, Ladas, G: Oscillation Theory of Delay Differential Equations. Clarendon Press, Oxford (1991) 9. Kolmanovskii, V, Myshkis, A: Applied Theory of Functional Differential Equations. Mathematics and Its ...

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Multiple periodic orbits of high dimensional differential delay systems

Multiple periodic orbits of high dimensional differential delay systems

... In this paper, our main purpose is to study system (1.1), in which the coefficients of non- linear terms corresponding to different hysteresis have different signs, which is an exten- sion of [3]. To construct the ...

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Fractional nonlocal impulsive quasilinear multi delay integro differential systems

Fractional nonlocal impulsive quasilinear multi delay integro differential systems

... 17. Ahmad B, Sivasundaram S: On four-point nonlocal boundary value problems of non-linear integro-differential equations of fractional order. Appl Math Comput 2010, 217:480-487. 18. Ahmad B, Nieto JJ: ...

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Approximate controllability of nonlinear stochastic partial differential systems with infinite delay

Approximate controllability of nonlinear stochastic partial differential systems with infinite delay

... differential systems; approximate controllability; Banach contraction theorem; infinite delay 1 Introduction Stochastic partial differential systems are usually used to describe physical and engi- ...

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Differential Inequalities for One Component of Solution Vector for Systems of Linear Functional Differential Equations

Differential Inequalities for One Component of Solution Vector for Systems of Linear Functional Differential Equations

... These ideas have been developing in scores of books on the monotone technique for approximate solution of boundary value problems for systems of differential equations. Note in this connection the important works ...

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Notes on oscillation of linear delay differential equations

Notes on oscillation of linear delay differential equations

... 1. Baštinec, J., Berezansky, L., Diblík, J., Šmarda, Z.: On the critical case in oscillation for differential equations with a single delay and with several delays. Abstr. Appl. Anal. 2010, Article ID 417869 (2010) ...

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A Study On Oscillation Criteria for Linear and Non Linear Neutral Delay Differential Equations

A Study On Oscillation Criteria for Linear and Non Linear Neutral Delay Differential Equations

... FOR LINEAR AND NON-LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS’’ contains four chapters it is meant to study the basic concept and various interesting result on oscillation of second order ...

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Stability analysis of linear multistep methods for delay differential equations

Stability analysis of linear multistep methods for delay differential equations

... We were also able to obtain some sufficient stability conditions for linear multistep methods with Lagrange interpolation (Section 2) and for low order parametrized Adams-Bashforth and A[r] ...

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Oscillations of Fourth Order Linear Neutral Delay Differential Equations

Oscillations of Fourth Order Linear Neutral Delay Differential Equations

... [5] Jozef Džurina, Blanka Baculíková and Irena Jadlovská B, New oscillation results to fourth-order delay differential equations with damping, Electronic Journal of Qualitative Th[r] ...

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Stability of Switched Linear Differential Systems

Stability of Switched Linear Differential Systems

... Terms—Switched systems; behaviours; LMIs; quadratic differential forms; ...switched systems consist of a bank of state-space or descriptor form representations (see [8], [10], [28], [29]) sharing a ...

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New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

New Oscillation and Nonoscillation Criteria for a Class of Linear Delay Differential Equation

... The idea of nonoscillation criteria of linear delay differential equation has appeared as early in the works of O. Arino [1]. Now a days, peoples’ concentration has been directed towards the ...

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