Results 11 to 20 of about 74 (72)
Realistic Models of Financial Market and Structural Stability
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The main aim of this article is to show the role of structural stability in financial modelling; that is, a specific “no‐arbitrage” property is unaffected by small perturbations of the model’s dynamics. We prove that under the structural stability assumption, given a convex compact‐valued multifunction, there exists a stochastic transition kernel with ...
Sergey N. Smirnov, Basil Papadopoulos
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Existence of solutions for nonconvex third order differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2005 This paper proves the existence of solutions for a third order initial value nonconvex differential inclusion. We start with an upper semicontinuous compact valued multifunction $F$ which is contained in a lower semicontinuous convex function $\partial V$
Britney Hopkins
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A remark on Gwinner's existence theorem on variational inequality problem
International Journal of Mathematics and Mathematical Sciences, 2000 Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.
V. Vetrivel, S. Nanda
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Discretization methods for nonconvex differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function ...
M. Yarou
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Existence and Compactness Results for a System of Fractional Differential Equations
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions.
Cheikh Guendouz +4 more
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Application of Pettis integration to delay second order differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper some fixed principle is applied to prove, in a separable Banach space, the existence of solutions for delayed second order differential inclusions with three-point boundary conditions of the form $$\ddot u(t)\in F(t,u(t),u(h(t)),\dot u(t ...
D. Azzam-Laouir +2 more
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Extensions of best approximation and coincidence theorems
International Journal of Mathematics and Mathematical Sciences, 1997 Let X be a Hausdorff compact space, E a topological vector space on which E* separates points, F:X→2E an upper semicontinuous multifunction with compact acyclic values, and g:X→E a continuous function such that g(X) is convex and g−1(y) is acyclic for ...
Sehie Park
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An existence and qualitative result for discontinuous implicit differential equations
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2018 LetT > 0 and Y ⊆ R^n. Given a function f:[0,T]×R^n×Y → R,we consider the Cauchy problem f(t,u,u′) = 0 in [0,T], u(0) = ξ . We prove an existence and qualitative result for the generalized solutions of the above problem. In particular, our result does not
Paolo Cubiotti
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An Assessment of the Multifunctionality of Integrated Buffer Zones in Northwestern Europe
Journal of Environmental Quality, Volume 48, Issue 2, Page 362-375, March-April 2019., 2019 Integrated buffer zones (IBZs) have recently been introduced in the Northwestern Europe temperate zone to improve delivery of ecosystem services compared with the services associated with long‐established vegetated buffer zones. A common feature of all the studied IBZ sites is that tile drainage, which previously discharged directly into the streams ...
Dominik Zak +15 more
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Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 An existence of at least three solutions for a fourth‐order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three‐critical‐point theorem. Our results generalize and improve some known results.
Dongdong Gao +2 more
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