Results 1 to 10 of about 247 (76)
Nonautonomous Dynamical Systems, 2022 In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained.
Wang Chao, Li Zhien, Agarwal Ravi P.
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Existence results for systems of first-order nabla dynamic inclusions on time scales
Arab Journal of Mathematical Sciences, 2019 In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
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Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
Open Mathematics, 2020 In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
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Dynamic equation on time scale with almost periodic coefficients
Nonautonomous Dynamical Systems, 2020 In this paper, we discuss a nonautonomous dynamical equation on time scale in a Banach space. The nonautonomous case is particularly important and needs to be studied because it is frequently met in the mathematical models of evolutionary processes.
Abbas Syed
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Nonautonomous Dynamical Systems, 2019 The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
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Nonautonomous Dynamical Systems, 2018 By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh +2 more
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Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales [PDF]
, 2012 We obtain Euler-Lagrange and transversality optimality conditions for higher-order infinite horizon variational problems on a time scale. The new necessary optimality conditions improve the classical results both in the continuous and discrete settings ...
A.B. Malinowska +24 more
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Oscillation theorems for certain third order nonlinear delay dynamic equations on time scales [PDF]
, 2011 In this paper, we establish some new oscillation criteria for the third order nonlinear delay dynamic equations $$\left(b(t)\left([a(t)(x^\Delta(t))^{\alpha_1}]^\Delta\right)^{\alpha_2}\right)^\Delta+q(t)x^{\alpha_3}(\tau(t))=0$$ on a time scale $\mathbb{
Han, Zhenlai +3 more
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A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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