Existence and stability of solution
WebFeb 8, 2024 · The existence of solution is proved by Krasnoselkii fixed point theorem. In addition, we study stability of solutions in the sense of Ulam-Hyers stability. Finally, an example is given to... WebIn Section 5, we complement our existence and stability analysis by virtue of direct numerical simulations that manifest the result of the solutions’ dynamical instability when they are found to be unstable. Finally, in Section 6, we summarize our findings and present our conclusions, as well as discussing some possibilities for future studies. 2.
Existence and stability of solution
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Webunbounded domains. Ma, Ukai, and Yang [15] proved the existence and stability of time periodic solutions on the whole space Rn. They showed that if n 5, there exists a time periodic solution (ρper,vper) around (ρ∗,0) for a sufficiently small g ∈ C0(R;HN−1 ∩ L1) with g(x,t + T) = g(x,t), where N ∈ Z satisfies N n + 2. Furthermore ... Webstability of the transonic shock under generic three dimensional perturbations of the nozzle is still an interesting open problem. Remark 1.7. Our method can be applied to establish the existence and stability of the spherical transonic shock without the “Structure Condition” required in [26], this will be reported in [33]. 6
WebApr 1, 2024 · In this paper, we study the existence and some stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact … WebIn this paper, the stability of Ulam–Hyers and existence of solutions for semi-linear time-delay systems with linear impulsive conditions are studied. The linear parts of the impulsive systems are defined by non-permutable matrices. To obtain solution for linear impulsive delay systems with non-permutable matrices in explicit form, a new concept of impulsive …
http://www.ims.cuhk.edu.hk/publications/reports/2024-01.pdf WebMar 20, 2024 · This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with …
WebApr 13, 2024 · In this paper, relying on the Banach contraction mapping principle to discuss the existence of solution for a multi-order nonlinear fractional differential equations on …
WebIn mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial … ctv live at 5 atlanticWebJan 25, 2024 · The aim of this paper is developing conditions that guarantee the existence of a solution to a toppled system of differential equations of noninteger order with … easiest cash advance to getWebMar 15, 2024 · Abstract. This paper deals with a class of nonlinear Mathieu fractional differential equations. The reported results discuss the existence, uniqueness and … easiest cave on ragnarokWeb2 days ago · The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal ... easiest castle to take in bannerlordWebApr 25, 2024 · In this paper, we mainly consider the existence and finite-time stability of solutions for a kind of ψ -Hilfer fractional differential equations involving time-varying … easiest ce credits for insuranceWebAug 1, 2015 · Abstract. Existence, uniqueness, and stability of Heaviside function like solutions of a Keller and Segel's minimal chemotaxis model are established when a chemotaxis parameter is large enough ... easiest catalog credit cards approvalWebIn this paper, neutral-type competitive neural networks with mixed time-varying delays and leakage delays on time scales are proposed. Based on the contraction fixed-point theorem, some sufficient conditions that are independent of the backwards graininess function of the time scale are obtained for the existence and global exponential stability of almost … easiest cave on fjord ark