Nonlinear delay differential equations and their application to modeling biological network motifs
Sign Up to like & getrecommendations! Published in 2021 at "Nature Communications"
DOI: 10.1038/s41467-021-21700-8
Abstract: Biological regulatory systems, such as cell signaling networks, nervous systems and ecological webs, consist of complex dynamical interactions among many components. Network motif models focus on small sub-networks to provide quantitative insight into overall behavior.… read more here.
Keywords: nonlinear delay; network; differential equations; equations application ... See more keywords
Stabilization of Stochastic Highly Nonlinear Delay Systems With Neutral Term
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2022.3186827
Abstract: In this article, stochastic highly nonlinear delay systems with neutral term are studied, which does not satisfy the linear growth condition. Under the local Lipschtiz condition and the polynomial growth condition, we study the existence… read more here.
Keywords: systems neutral; nonlinear delay; stochastic highly; highly nonlinear ... See more keywords
Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1949-7
Abstract: AbstractEmploying a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation y(n+2)(t)+p(t)y(n)(t)+q(t)f(y(g(t)))=0$$ y^{(n+2)}(t)+p(t)y^{(n)}(t)+q(t)f\bigl(y\bigl(g(t)\bigr)\bigr)=0 $$ will converge to zero or oscillate, under some conditions listed… read more here.
Keywords: order nonlinear; nonlinear delay; higher order; delay differential ... See more keywords
Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2190-5
Abstract: We study asymptotic properties of a class of third-order nonlinear delay dynamic equations with positive and negative coefficients on time scales. In this paper, we establish new results on asymptotic behavior of nonoscillatory and oscillatory… read more here.
Keywords: delay dynamic; dynamic equations; order; nonlinear delay ... See more keywords
Novel Oscillation Theorems and Symmetric Properties of Nonlinear Delay Differential Equations of Fourth-Order with a Middle Term
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14030585
Abstract: The goal of this paper was to study the oscillations of a class of fourth-order nonlinear delay differential equations with a middle term. Novel oscillation theorems built on a proper Riccati-type transformation, the comparison approach,… read more here.
Keywords: novel oscillation; nonlinear delay; fourth order; middle term ... See more keywords
Analytical View of Nonlinear Delay Differential Equations Using Sawi Iterative Scheme
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14112430
Abstract: This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to construct a recurrence relation which is now… read more here.
Keywords: nonlinear delay; iterative scheme; delay differential; sawi iterative ... See more keywords