Oscillation of Second‐Order Canonical and Noncanonical Delay Differential Equations
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DOI: 10.1002/mma.10945
Abstract: In this paper, we investigate the oscillatory behavior of certain second‐order delay differential equations in both canonical and noncanonical forms. We establish new oscillation criteria that extend and enhance existing results addressing cases where previously… read more here.
Keywords: canonical noncanonical; delay differential; differential equations; second order ... See more keywords
Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations
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DOI: 10.1002/mma.6526
Abstract: The main objective of this research work is to establish existence results as well as to study qualitative aspects of the proposed coupled system of fractional hybrid delay differential equations (FHDDEs). Using the hybrid fixed… read more here.
Keywords: analysis; system fractional; hybrid delay; coupled system ... See more keywords
Nonstandard finite difference schemes for general linear delay differential systems
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DOI: 10.1002/mma.7002
Abstract: This paper deals with the construction of non‐standard finite difference methods for coupled linear delay differential systems in the general case of non‐commuting matrix coefficients. Based on an expression for the exact solution of the… read more here.
Keywords: finite difference; delay differential; linear delay; differential systems ... See more keywords
Stability criteria of random delay differential systems subject to random impulses
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DOI: 10.1002/rnc.5632
Abstract: This article investigates the stability of random impulsive delay differential systems with the kind of random impulsive intensity determined by an arbitrary random sequence or an irreducible aperiodic Markov chain. Moreover, the continuous dynamics are… read more here.
Keywords: delay differential; stability criteria; differential systems; stability ... See more keywords
On FBDF5 Method for Delay Differential Equations of Fractional Order with Periodic and Anti-Periodic Conditions
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DOI: 10.1007/s00009-017-0932-8
Abstract: In this paper, we study the fractional backward differential formula (FBDF) for the numerical solution of fractional delay differential equations (FDDEs) of the following form: $$\lambda _n {}_0^C D_t^{\alpha _n } y(t - \tau )… read more here.
Keywords: anti periodic; periodic conditions; differential equations; periodic anti ... See more keywords
Numerical solution of linear inhomogeneous fuzzy delay differential equations
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DOI: 10.1007/s10700-018-9296-1
Abstract: We investigate inhomogeneous fuzzy delay differential equation (FDDE) in which initial function and source function are fuzzy. We assume these functions be in a special form, which we call triangular fuzzy function. We define solution… read more here.
Keywords: fuzzy delay; delay differential; solution; function ... See more keywords
An Explicit Periodic Solution of a Delay Differential Equation
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DOI: 10.1007/s10884-018-9681-z
Abstract: In this paper we prove that the following delay differential equation $$\begin{aligned} \frac{d}{dt}x(t)=rx(t)\left( 1-\int _{0}^{1}x(t-s)ds\right) , \end{aligned}$$ d dt x ( t ) = r x ( t ) 1 - ∫ 0 1 x… read more here.
Keywords: delay differential; differential equation; solution; periodic solution ... See more keywords
A Class of Delay Differential Variational Inequalities
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DOI: 10.1007/s10957-016-1002-2
Abstract: In the paper, we introduce a class of delay differential variational inequalities consisting of a system of delay differential equations and variational inequalities. The existence conclusion of Carathéodory’s weak solution for delay differential variational equalities… read more here.
Keywords: differential variational; variational inequalities; class delay; delay differential ... See more keywords
A Legendre-based computational method for solving a class of Itô stochastic delay differential equations
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DOI: 10.1007/s11075-018-0526-y
Abstract: This paper provides a numerical method for solving a class of Itô stochastic delay differential equations (SDDEs). The method’s novelty is its use of the spectral collocation approach using Legendre polynomials for solving SDDEs. We… read more here.
Keywords: solving class; method solving; stochastic delay; class stochastic ... See more keywords
Improved Comparison Theorems for the Oscillation of Even Order Delay Differential Equations and their Applications
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DOI: 10.1007/s12591-024-00701-1
Abstract: In this work, only two independent conditions for the oscillation of all solutions of even-order delay differential equations in the non-canonical case are established. Using comparison techniques with first- and second-order delay differential equations, we… read more here.
Keywords: differential equations; even order; order delay; delay differential ... See more keywords
Design of Backpropagated Intelligent Networks for Nonlinear Second-Order Lane–Emden Pantograph Delay Differential Systems
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DOI: 10.1007/s13369-021-05814-1
Abstract: In physical science, nonlinear singular Lane–Emden and pantograph delay differential equations (LE–PDDEs) have abundant applications and thus are of great interest for the researchers. The presented investigation is related to the development of a new… read more here.
Keywords: second order; pantograph; lane emden; delay differential ... See more keywords