Impulsive functional differential inclusions of mixed type with finite delay
上海师范大学学报. 自然科学版, 2020 In this paper, using fixed point theorem for multi-valued maps, we obtain the existence result of mild solutions for a class of impulsive functional differential inclusions of mixed type with finite delay.
LI Xiaoyue, WANG Qi
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TDP-43 loss-of-function causes neuronal loss due to defective steroid receptor-mediated gene program switching in Drosophila [PDF]
, 2013 TDP-43 proteinopathy is strongly implicated in the pathogenesis of amyotrophic lateral sclerosis and related neurodegenerative disorders. Whether TDP-43 neurotoxicity is caused by a novel toxic gain-of-function mechanism of the aggregates or by a loss of
Adachi, Yoshitsugu +13 more
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Existence of solutions of functional differential inclusions [PDF]
International Journal of Stochastic Analysis, 1992 We prove the existence of solutions of a functional differential inclusion. By using the variation of parameters formula we convert the functional differential inclusion into an integral inclusion and prove the existence of a fixed point of the set‐valued mapping with the help of the Kakutani‐Bohnenblust‐Karlin fixed point theorem.
Anguraj, A., Balachandran, K.
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On the existence of mild solutions for neutral functional differential inclusions in Banach space
Electronic Journal of Qualitative Theory of Differential Equations, 2007 A theorem on existence of mild solutions for partial neutral functional differential inclusions with unbounded linear part generating a noncompact semigroup in Banach space is established.
Lahcene Guedda
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On solutions of differential inclusions in homogeneous spaces of functions
Journal of Mathematical Analysis and Applications, 2006 This paper is concerned with the following class of semilinear differential inclusions \[ x'(t)\in Ax(t)+f(t),\;t\in\mathbb R, \] where the multivalued linear operator \(A\in ML(E)\) (\(ML\) is the collection of all closed linear multivalued maps in \(E\)) and \(f\) belong to the homogeneous space \({\mathcal U}(\mathbb R,E)\).
A. Baskakov +2 more
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Optimal Control of Neutral Functional-Differential Inclusions Linear in Velocities
Trends in Computational and Applied Mathematics, 2004 This paper studies optimal control problems for dynamical systems governed by neutral functional-differential inclusions that linearly depend on delayed velocity variables.
B.S. Mordukovich, L. Wang
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Value Function and Optimal Control of Differential Inclusions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2015 Abstract Optimal control system described by differential inclusion with continuous and one sided Perron right-hand side in a finite dimensional space is studied in the paper. We prove that the value function is the unique solution of a proximal Hamilton-Jacobi inequalities.
Donchev, T., Nosheen, A.
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A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]
, 2014 We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana +2 more
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Global Existence Results for Functional Differential Inclusions with State-Dependent Delay
Mathematical Modelling and Analysis, 2014 Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.
Mouffak Benchohra +2 more
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Structure of the solution set to differential inclusions with impulses at variable times [PDF]
, 2014 A topological structure of the solution set to differential inclusions with impulses at variable times is investigated. In order to do that an appropriate Banach space is defined. It is shown that the solution set is an $R_{\delta}$-set.
Grudzka, Agata, Ruszkowski, Sebastian
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