Boundedness of solutions of measure differential equations and dynamic equations on time scales
Sign Up to like & getrecommendations! 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.
Keywords: time scales; boundedness solutions; differential equations; dynamic equations ... See more keywords
Boundedness of solutions to a virus infection model with saturated chemotaxis
Sign Up to like & getrecommendations! 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.
Keywords: boundedness solutions; solutions virus; virus infection; infection model ... See more keywords
Existence and local boundedness of solutions of a -Laplacian problem
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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.
Keywords: local boundedness; existence local; solutions laplacian; boundedness solutions ... See more keywords
On the boundedness of solutions of a class of third-order rational difference equations
Sign Up to like & getrecommendations! 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.
Keywords: difference equations; difference; solutions class; boundedness solutions ... See more keywords
Boundedness of the solutions to non-linear systems with Morrey data
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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.
Keywords: systems morrey; boundedness solutions; morrey data; non linear ... See more keywords
On Boundedness of Solutions of State Periodic Systems: A Multivariable Cell Structure Approach
Sign Up to like & getrecommendations! 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.
Keywords: approach; boundedness solutions; cell structure; state ... See more keywords