Results 21 to 30 of about 800 (123)
On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
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Demonstratio Mathematica, 2023 In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad +2 more
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Nonlinear dynamic equations on time scales with impulses and nonlocal conditions
, 2020 The purpose of this paper is to introduce more general results on the existence of solutions for nonlinear dynamic equations on time scales with impulses and nonlocal initial conditions.
Sanket Tikare, C. Tisdell
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Coupled measure of noncompactness and functional integral equations
Open Mathematics, 2022 The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan +3 more
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Journal of Function Spaces, Volume 5, Issue 1, Page 9-26, 2007., 2007 In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro‐differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro‐differential equations of Volterra type on infinite interval ...
Jiang Zhu +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 901-912, 2004., 2004 First, we prove a necessary and sufficient condition for global in time existence of all solutions of an ordinary differential equation (ODE). It is a condition of one‐sided estimate type that is formulated in terms of so‐called proper functions on extended phase space.
Yuri E. Gliklikh, Lora A. Morozova
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On Markovian solutions to Markov Chain BSDEs [PDF]
, 2011 We study (backward) stochastic differential equations with noise coming from a finite state Markov chain. We show that, for the solutions of these equations to be `Markovian', in the sense that they are deterministic functions of the state of the ...
B. Bouchard +10 more
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A singular initial value problem for some functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 261-270, 2004., 2004 For the initial value problem trx′(t) = at + b1x(t) + b2x(q1t) + b3trx′(q2t) + φ(t, x(t), x(q1t), x′(t), x′(q2t)), x(0) = 0, where r > 1, 0 < qi ≤ 1, i ∈ {1, 2}, we find a nonempty set of continuously differentiable solutions x : (0, ρ] → ℝ, each of which possesses nice asymptotic properties when t → +0.
Ravi P. Agarwal +2 more
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On the equivalence of three-dimensional differential systems
Open Mathematics, 2020 In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system.
Zhou Jian, Zhao Shiyin
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The unique continuation property for a nonlinear equation on trees [PDF]
, 2014 In this paper, we study the game p-Laplacian on a tree, that is, u(x) = α / 2 max y∈S(x) u(y) + min y∈S(x) u(y) + β m y∈S(x) u(y);here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that
del Pezzo, Leandro Martin +2 more
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