Results 11 to 20 of about 4,878 (264)
Wasit Journal for Pure Sciences, 2023 The aim of this paper is to investigate some types of stability such as generalized Hyers-Ulam- Rassias stability(G-H-U-R-stabile) and the relation with Hyers-Ulam(H-U-stabile) stable and Hyers-Ulam-Rassias stable (H-U-R-stabile) and generalized Hyers ...
Ahmed Adnan Hashem Aljumaili +1 more
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Existence results for systems with nonlinear coupled nonlocal initial conditions [PDF]
Mathematica Bohemica, 2015 The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are established by means of the Perov, Schauder and Leray-Schauder fixed point principles combined with a technique based on
Octavia Bolojan +2 more
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Nonlinear Volterra delay evolution inclusions subjected to nonlocal initial conditions
Topological Methods in Nonlinear Analysis, 2021 This paper deals with a nonlinear Volterra delay evolution inclusion subjected to a nonlocal implicit initial condition. The evolution inclusion involves an $m$-dissipative operator (possibly multivalued and/or nonlinear) and a noncompact interval. We first consider the evolution inclusion subjected to a local initial condition and prove an existence ...
Yangyang Yu +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
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Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions [PDF]
Complexity, 2018 The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the ...
Jun Du +3 more
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A nonlinear fractional partial integro‐differential equation with nonlocal initial value conditions [PDF]
Mathematical Methods in the Applied Sciences, 2023 In this work, we study a new nonlinear partial integro‐differential equation with nonlocal initial value conditions and investigate the solutions of this equation. By considering an equivalent implicit integral equation via series, we prove the uniqueness of solutions of the equation by Babenko's approach, Banach's contraction principle, and the ...
Chenkuan Li +4 more
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Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions
Nonlinear Analysis, 2021 The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation.
Ionuţ Munteanu
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Solutions of two-term time fractional order differential equations with nonlocal initial conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study the existence of mild solutions for the two-term fractional order abstract differential equation $${D}^{\alpha+1}_t u(t) + \mu {D}_t^{\beta} u(t) - Au(t) = D^{\alpha-1}_t f(t,u(t)), \quad t\in [0,1], \quad 0 < \alpha \leq \beta \leq 1, \mu \geq ...
Carlos Lizama
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Controllability for the fuzzy differential systems with nonlocal initial conditions [PDF]
Journal of Korean Institute of Intelligent Systems, 2003 In this paper, we study the controllability of fuzzy differential systems with nonlocal initial conditions. Result of this paper has improved and expanded in [5].
Jong-Seo Park +2 more
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Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition [PDF]
Advances in Difference Equations, 2011 We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition , where , , and is a given function.
Karthikeyan P, Trujillo JJ, Anguraj A
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