Results 11 to 20 of about 1,451 (109)
Journal of Inequalities and Applications, 2022 A coupled system of nonlinear self-adjoint second-order ordinary differential inclusions supplemented with nonlocal nonseparated coupled integral boundary conditions on an arbitrary domain is studied. The existence results for convex and nonconvex valued
Bashir Ahmad +3 more
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Semi-Implicit Euler Schemes for Ordinary Differential Inclusions [PDF]
SIAM Journal on Numerical Analysis, 2014 Two semi-implicit Euler schemes for differential inclusions are proposed and analyzed in depth. An error analysis shows that both semi-implicit schemes inherit favorable stability properties from the differential inclusion. Their performance is considerably better than that of the implicit Euler scheme, because instead of implicit inclusions only ...
Janosch Rieger
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The Euler scheme for state constrained ordinary differential inclusions
Discrete and Continuous Dynamical Systems - Series B, 2016 We propose and analyze a variation of the Euler scheme for state constrained ordinary differential inclusions under weak assumptions on the right-hand side and the state constraints. Convergence results are given for the space-continuous and the space-discrete versions of this scheme, and a numerical example illustrates in which sense these limits have
Janosch Rieger
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Communications on Pure and Applied Analysis, 2020 The authors consider families of non-autonomous partial differential inclusions (multivalued) with \(p\)-Laplacians with variable coefficients as differential operators, large diffusions and driven by nonlinearities of Heaviside type, i.e., corresponding to discontinuous nonlinear terms and with Neumann boundary conditions.
Mariza Stefanello Simsen +2 more
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An Averaging Theorem for Ordinary Differential Inclusions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions [PDF]
Journal of Differential Equations, 2007 Let \(F : [a,b]\times\mathbb R^n \to\mathbb R^n\) be an integrably bounded multivalued map with convex, compact values such that \(t \mapsto F(t,x)\) is measurable for every \(x\), and \(x \mapsto F(t,x)\) is continuous for every \(t\). Using the Baire category method, the authors show that if the problem \[ x'(t) \in \operatorname{int}F(t,x(t)),\quad ...
DE BLASI, FRANCESCO SAVERIO +1 more
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Averaging method for ordinary differential inclusions with maxima
Electronic Journal of Differential Equations, 2018 We consider ordinary differential inclusions with maxima perturbed by a small parameter and give justification of the method of averaging for this type of inclusions.
Bachir Bar, Mustapha Lakrib
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On the averaging of differential inclusions with maxima [PDF]
Mathematica Bohemica, 2023 We apply the averaging method to ordinary differential inclusions with maxima perturbed by a small parameter and illustrate the method by some examples.
Bachir Bar
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Cubo, 2023 In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam +4 more
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APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Ural Mathematical Journal, 2022 Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
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