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Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.02.008
Abstract: Abstract In this paper, we investigate the boundedness results for measure differential equations. In order to obtain our results, we use the correspondence between these equations and generalized ODEs. Furthermore, we prove our results concerning… read more here.
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.019
Abstract: We show global existence and boundedness of classical solutions to a virus infection model with chemotaxis in bounded smooth domains of arbitrary dimension and for any sufficiently regular nonnegative initial data and homogeneous Neumann boundary… read more here.
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Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1404581
Abstract: ABSTRACT In this paper, we consider the -Laplacian equation where is an odd increasing homeomorphism from onto which is not necessarily differentiable. The term is a suitable parameter and g is measurable. We prove that… read more here.
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Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1506447
Abstract: ABSTRACT We consider the difference equation with and If we show that for all positive initial conditions the solutions of the difference equations are bounded. If then there exists positive initial conditions such that the… read more here.
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Published in 2017 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2017.1397642
Abstract: ABSTRACT We consider non-linear elliptic systems satisfying componentwise coercivity condition. The non-linear terms have controlled growths with respect to the solution and its gradient, while the behaviour in x is governed by functions in Morrey… read more here.
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Published in 2019 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2892395
Abstract: Many dynamical systems are periodic with respect to several state variables. This periodicity typically leads to the coexistence of multiple invariant solutions (equilibria or limit cycles). As a consequence, while there are many classical techniques… read more here.
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Published in 2024 at "Mathematics"
DOI: 10.20944/preprints202308.1519.v1
Abstract: Generally, stochastic functional differential equations (SFDEs) pose a challenge as they often lack explicit exact solutions. Consequently, it becomes necessary to seek certain favorable conditions under which numerical solutions can converge towards the exact solutions.… read more here.
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Published in 2024 at "Kragujevac Journal of Mathematics"
DOI: 10.46793/kgjmat2603.457o
Abstract: We present in this paper the qualitative study of solutions of certain third order nonlinear matrix differential equations where the unknown function X is matrix-valued. The properties of solutions were investigated using Lyapunov’s direct method… read more here.