Coincidence degree and periodic solutions of neutral equations
The problem of existence of periodic solutions for some nonautonomous neutral functional differential equations is examined. It is an application of a basic theorem on the Fredholm alternative for periodic solutions of some linear neutral equations and of a generalized Leray-Schauder theory.
Hale, Jack K, Mawhin, J
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Periodic solutions for a delay model of plankton allelopathy on time scales
In this paper, a delay model of plankton allelopathy is investigated. By using the coincidence degree theory, sufficient conditions for existence of periodic solutions are obtained.
Zhaohui Wen, Kejun Zhuang
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Stability and Hopf-bifurcation analysis of an unidirectionally coupled system
In this paper, the stability and existence of periodic solutions for an unidirectionally coupled nonlinear system with delays are investigated by combining the linear stability theory and the embedding technique of asymptotically autonomous semiflows ...
Gang Zhu, Junjie Wei
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Existence Results for an m-Point Mixed Fractional-Order Problem at Resonance on the Half-Line
This work considers the existence of solutions for a mixed fractional-order boundary value problem at resonance on the half-line. The Mawhin’s coincidence degree theory will be used to prove existence results when the dimension of the kernel of the ...
Ogbu F. Imaga +2 more
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Coincidence degree methods in almost periodic differential equations
The paper provides conditions for the existence of almost periodic solutions to differential equations using coincidence degree theory. A new equivalent spectral condition ensuring the compactness of integral operators on almost periodic function spaces has been established.
Qi, Liangping, Yuan, Rong
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非自治兔子食草模型的周期解(Periodic solutions of a nonautonomous plant-hare model)
Based on Mawhin's coincidence degree theory, sufficient conditions are obtained for the existence of at least one positive periodic solution for a plant-hare model.
GAOYong-fei(高永飞) +1 more
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Results of the Childhood Cancer and Leukaemia Group's United Kingdom Relapsed Wilms Tumour Trial
ABSTRACT Background The United Kingdom relapsed Wilms tumour (UKW‐R) trial aimed to improve the historically low survival rates after relapse of Wilms tumour (WT) through a prospective national risk‐stratified protocol. The trial also evaluated efficacy and toxicity of high‐dose melphalan.
Sucheta J. Vaidya +10 more
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Finite groups whose character degree graphs coincide with their prime graphs [PDF]
In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by ΔG), and the prime graph ΓG), In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs.
Erkoç, Temha +2 more
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By dawn or dusk—how circadian timing rewrites bacterial infection outcomes
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo +2 more
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The role and implications of mammalian cellular circadian entrainment
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
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