Results 1 to 10 of about 8,164,188 (290)
Mathematics, 2019 This paper gives continuous dependence results for solutions of integer and fractional order, non-instantaneous impulsive differential equations with random impulse and junction points.
Yu Chen, JinRong Wang
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Continuous dependence results for set-valued measure differential problems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We discuss existence and continuous dependence properties of solutions set of measure differential inclusions \begin{equation}\label{(1)} \begin{split} dx(t)& \in G(t, x(t)) d\mu(t),\\ x(0)& = x_0. \end{split} \end{equation} where $G \colon [0,1] \times \
Bianca Satco
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Continuous dependence on initial data and high energy blowup time estimate for porous elastic system
Communications in Analysis and Mechanics, 2023 In this paper, we establish two conclusions about the continuous dependence on the initial data of the global solution to the initial boundary value problem of a porous elastic system for the linear damping case and the nonlinear damping case ...
Jiangbo Han, Run-Zhang Xu, Chao Yang
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Mathematics, 2022 Differential and integral equations in reflexive Banach spaces have gained great attention and hve been investigated in many studies and monographs. Inspired by those, we study the existence of the solution to a delay functional integral equation of ...
Ahmed M. A. El-Sayed, Yasmin M. Y. Omar
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Symmetry, 2022 In this recent work, the continuous dependence of double diffusive convection was studied theoretically in a porous medium of the Forchheimer model along with a variable viscosity.
Ali Hasan Ali +5 more
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Global Existence for an Implicit Hybrid Differential Equation of Arbitrary Orders with a Delay
Mathematics, 2022 In this paper, we present a qualitative study of an implicit fractional differential equation involving Riemann–Liouville fractional derivative with delay and its corresponding integral equation.
Ahmed M. A. El-Sayed +2 more
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Continuous dependence on parameters and boundedness of solutions to a hysteresis system
Applied Mathematics, 2021 We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the ...
A. Kamachkin, D. Potapov, V. Yevstafyeva
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Existence and uniqueness of solutions for fractional stochastic delay differential equations
Xi'an Gongcheng Daxue xuebao, 2021 The existence and uniqueness of solutions for a class fractional stochastic delay differential equations dx(t)=b(x(t), x(t-τ), t)dt+σ1(x(t), x(t-τ), t)dB(t)+σ2(x(t), x(t-τ), t)(dt)α of order α∈(0, 1) were studied.
Miaomiao WANG, Xiaoli DING, Jiamin LI
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Mathematics in Applied Sciences and Engineering, 2022 In this paper, we study a toxin-mediated size-structured population model with nonlinear reproduction, growth, and mortality rates. By using the characteristic method and the contraction mapping argument, we establish the existence-uniqueness of ...
Yan Li, Qihua Huang
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Continuous Dependence on the Coefficients I
Evolutionary Equations, 2021 The power of the functional analytic framework for evolutionary equations lies in its variety. In fact, as we have outlined in earlier chapters, it is possible to formulate many differential equations in the form $$\displaystyle \left (\partial _{t}M ...
C. Seifert, S. Trostorff, M. Waurick
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