Second-order ordinary differential equations and inclusions with a new kind of integral and multi-strip boundary conditions [PDF]
Differential Equations & Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmad, Bashir +3 more
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A Filippov-Type Lemma for Stieltjes Differential Inclusions with Supremum
MathematicsThe aim of this paper is to generalize the classical Filippov lemma to the framework of Cauchy differential set-valued problems involving the supremum of the unknown function on a past interval and its Stieltjes derivative with respect to a left ...
Bianca Satco
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Existence theorems for
Applied Mathematics Letters, 2006 The author studies the following problem for an \(n\)th-order differential inclusion: \[ \begin{cases} x^{(n)}(t) \in F(t,x(t)) & \text{for a.e. } t\in J,\\ x^{(i)}(0)=x_i\in \mathbb R, & i\in \{1,\dots,n-1\}, \end{cases} \] where \(J=[0,T]\) and \(F:J \times \mathbb R\to 2^{\mathbb R}\) is a multifunction.
B. Dhage
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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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Bifurcations of periodic solutions in forced ordinary differential inclusions [PDF]
Differential Equations & Applications, 2009 Michal Fe
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Some averaging results for ordinary differential inclusions
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2015 Amel Bourada +3 more
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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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Existence Results of Ordinary Differential Inclusions in Banach Algebra under Weak Topology
Journal of Physical Mathematics, 2018 Najib Kaddachi
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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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