Results 111 to 120 of about 773,939 (324)
Periodic Solution of a Periodic Neutral Delay Equation
The paper deals with the existence of positive periodic solutions of the equation \[ N'(t)= N(t)\Biggl[a(t)- \sum^n_{j= 1}b_j(t)N(t-\sigma_j)- \sum^n_{j= 1}c_j(t)N'(t-\tau_j)\Biggr],\tag{1} \] where \(a\), \(b_j\), \(c_j\), \(j= 1,2,\dots, n\) are positive continuous functions periodic with period \(\omega>0\) and \(\sigma_j\), \(\tau_j\), \(j= 1,2 ...
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Monitoring circulating tumor DNA (ctDNA) in patients with operable breast cancer can reveal disease relapse earlier than radiology in a subset of patients. The failure to detect ctDNA in some patients with recurrent disease suggests that ctDNA could serve as a supplement to other monitoring approaches.
Kristin Løge Aanestad +35 more
wiley +1 more source
The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations
We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
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Multiple Nontrivial Solutions for Doubly Resonant Periodic Problems [PDF]
Nikolaos S. Papageorgiou, Vasile Staicu
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Existence of positive periodic solutions for first-order nonlinear differential equations with multiple time-varying delays [PDF]
Xiaoling Han, Ceyu Lei
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The cancer problem is increasing globally with projections up to the year 2050 showing unfavourable outcomes in terms of incidence and cancer‐related deaths. The main challenges are prevention, improved therapeutics resulting in increased cure rates and enhanced health‐related quality of life.
Ulrik Ringborg +43 more
wiley +1 more source
Periodic solutions for evolution equations
We study the existence and uniqueness of periodic solutions for evolution equations. First we analyze the one-dimensional case. Then for arbitrary dimensions (finite or not), we consider linear symmetric operators.
Mihai Bostan
doaj
Exact Solutions of Travelling Wave Model via Dynamical System Method
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
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On the Rosenau equation: Lie symmetries, periodic solutions and solitary wave dynamics [PDF]
Ali Demirci +3 more
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