Results 121 to 130 of about 8,509,903 (292)
Positive periodic solutions for third-order nonlinear differential equations
Electronic Journal of Differential Equations, 2011 For several classes of third-order constant coefficient linear differential equations we obtain existence and uniqueness of periodic solutions utilizing explicit Green's functions.
Jingli Ren, Stefan Siegmund, Yueli Chen
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The Dynamics of a Predator-Prey System with State-Dependent Feedback Control
Abstract and Applied Analysis, 2012 A Lotka-Volterra-type predator-prey system with state-dependent feedback control is investigated in both theoretical and numerical ways. Using the Poincaré map and the analogue of the Poincaré criterion, the sufficient conditions for the existence and ...
Hunki Baek
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Boundary Value Problems, 2017 In this paper, we consider the existence of a positive periodic solution for the following kind of high-order p-Laplacian neutral singular Rayleigh equation with variable coefficient: ( φ p ( x ( t ) − c ( t ) x ( t − σ ) ) ( n ) ) ( m ) + f ( t , x ...
Yun Xin, Shaowen Yao, Zhibo Cheng
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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
Kyushu Journal of Mathematics, 2002 The authors investigate the existence of positive periodic solutions to a general functional-differential equation which includes many mathematical ecological equations. They apply a new method which is based on the Krasnoselskii fixed-point theorem.
WAN, Aying, JIANG, Daqing
openaire +3 more sources
CEACAM1 participation in breast cancer progression
Molecular Oncology, EarlyView.In invasive breast cancer (BC), CEACAM1 shifts from an apical to a uniform membranous/cytoplasmic pattern, or is lost, as tumors dedifferentiate, inversely tracking the Ki‐67 proliferative index. In MCF‐7 cells, only CEACAM1‐4L suppresses proliferation, repressing cell cycle and growth factor genes.
Mykola Lyndin +3 more
wiley +1 more source
Electronic Journal of Differential Equations, 2013 In this article, we consider the existence and multiplicity of positive periodic solutions for a first-order singular system with impulse effects. The proof of our main result is based on Krasnoselskii's fixed point theorem in a cone.
Bian-Xia Yang
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International Journal of Mathematics and Mathematical Sciences, 2012 This paper investigates a class of delay differential systems with feedback control. Sufficient conditions are obtained for the existence and uniqueness of the positive periodic solution by utilizing some results from the mixed monotone operator theory ...
Haitao Li, Yansheng Liu
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Molecular Oncology, EarlyView.This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi +6 more
wiley +1 more source
Molecular Oncology, EarlyView.We show that emergence of castration‐resistant prostate (CRPC) is associated with significant upregulation of cyclins that positively regulate cyclin‐dependent kinase 2 (CDK2) and concomitant downregulation of CDK4 cyclins. This renders CRPC cells dependent on the high activity of CDK2, and CDK2 inhibitors synergistically sensitize CRPC cells to both ...
Joyeeta Chatterjee +3 more
wiley +1 more source
Balanced truncation model reduction of periodic systems [PDF]
, 2000 The balanced truncation approach to model reduction is considered for linear discrete-time periodic systems with time-varying dimensions. Stability of the reduced model is proved and a guaranteed additive bound is derived for the approximation error ...
Varga, Andras
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