Results 1 to 10 of about 330 (99)
Interval-valued functional differential equations under dissipative conditions
Advances in Differential Equations, 2014 A new concept of inner product on the space of compact convex subsets of ℝ is introduced. Using this inner product we investigate the global existence and uniqueness of the solution of interval-valued functional differential equations.
N. Phu, Truong Vinh An, N. Hoa, N. Hien
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Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]
, 2014 In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev +29 more
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Boundary Value Problems, 2013 Using the Kuratowski measure of noncompactness and progressive estimation method, we obtain the existence results of mild solutions for impulsive partial neutral second-order functional integro-differential equations with infinite delay in Banach spaces.
S. Xie
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HYBRID DELAY EVOLUTION SYSTEMS WITH NONLINEAR CONSTRAINTS
Dynamic systems and applications, 2018 Motivated by the importance of reaction-diffusion systems in modeling real processes with memory, we are interested in the existence of mild solutions for systems of abstract delay evolution equations subjected to general nonlinear constraints.
Octavia-Maria Bolojan, Radu Precup
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S. +3 more
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Advances in Differential Equations, 2013 In this paper, we present a generalized concept of second-order differentiability for interval-valued functions. The global existence of solutions for interval-valued second-order differential equations (ISDEs) under generalized H-differentiability is ...
V. Ngo, Dinh Phu Nguyen
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Open Mathematics, 2018 This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
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A unified approach to nonlocal impulsive differential equations with the measure of noncompactness
, 2012 This paper is concerned with the existence of mild solutions to impulsive differential equations with nonlocal conditions. We firstly establish a property of the measure of noncompactness in the space of piecewise continuous functions.
S. Ji, Gang Li
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Existence of solutions for delay evolution equations with nonlocal conditions
Open Mathematics, 2017 In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
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Monotone iterative technique for impulsive fractional evolution equations
, 2011 In this article, the well-known monotone iterative technique is extended for impulsive fractional evolution equations. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, some existence and uniqueness results are ...
Jia Mu, Yongxiang Li
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