Results 31 to 40 of about 302 (133)
A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces
Advances in Difference Equations, 2017 In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach ...
JinRong Wang +3 more
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, 2020 In this paper, by employing fixed-point methods, we obtain the existence and uniqueness results for the nonlinear implicit fractional differential equations in Banach spaces. Further, we obtain the uniqueness, dependence of the solution on the initial condition as well as on the functions involved on the right-hand side by means of Picard and weakly ...
Sutar, Sagar T., Kucche, Kishor D.
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Iterative functional-differential system with retarded argument
Journal of Numerical Analysis and Approximation Theory, 2006 Existence, uniqueness and data dependence results of solution to the Cauchy problem for iterative functional-differential system with delays are obtained using weakly Picard operator theory.
Diana Otrocol
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Ulam-Hyers stability of fixed point equations for multivalued operators on KST spaces [PDF]
Surveys in Mathematics and its Applications, 2014 In this paper we define the notions of Ulam-Hyers stability on KST spaces and cw-weakly Picard operator for the multivalued operators case in order to establish a relation between these.
Liliana Guran Manciu
doaj
Krasnoselskii's theorem in generalized Banach spaces and application
Electronic Journal of Qualitative Theory of Differential Equations, 2012 The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators.
I. R. Petre, Adrian Petrusel
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AIMS Mathematics, 2020 <abstract> <p>The aim of this paper is to introduce the notion of Suzuki type multivalued contraction with simulation functions and then to set up some new fixed point and data dependence results for these type of contraction mappings. We produce an example to support our results.
Azhar Hussain +3 more
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From a Dieudonne theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators [PDF]
Carpathian Journal of Mathematics, 2014 Let (X, d) be a complete metric space and let f : X → X be a self operator. In this paper we study the following two problems: Problem 1. Let f be such that its fixed points set is a singleton, i.e., Ff = {x∗}. Under which conditions the next implication does hold: f is asymptotically regular ⇒ f is a Picard operator? Problem 2.
Berinde, Vasile +2 more
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Advanced Science, EarlyView.Pathological tissue rigidity mechanoprimes microglia by enhancing actin cytoskeleton–nucleus coupling and chromatin opening at rigidity‐responsive cis‐regulatory elements (mechanoCREs). Subsequent NF‐κB/p65 signaling converges on this permissive regulatory state to amplify inflammatory gene expression and microglial activation.
Yu Xuan Meng +15 more
wiley +1 more source
Fixed points for multivalued contractions on a metric space [PDF]
Surveys in Mathematics and its Applications, 2010 The purpose of this paper is to prove a fixed point theorem for multivalued operators and a fixed point theorem for multivalued weakly Picard operators in the terms of τ -distance.
Liliana Guran
doaj
Biological Reviews, EarlyView.ABSTRACT The environmental conditions organisms experience during early development can have powerful and sustained effects on morphology, physiology, behaviour, and performance. Such developmental effects can influence reproductive success, survival, and life‐history strategies and can be transmitted across generations (i.e.
Ondi L. Crino +7 more
wiley +1 more source