On the determination of the number of periodic (or closed) solutions of a scalar differential equation with convexity

DOI10.1016/j.jmaa.2006.08.051zbMath1123.34033OpenAlexW2026375647WikidataQ115346256 ScholiaQ115346256MaRDI QIDQ879103

Kurt Munk Andersen, Allan Sandqvist

Publication date: 4 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.051

zbMATH Keywords

periodic solutionclosed solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items

Periodic solutions of a logistic type population model with harvesting, A criterion for the existence of the unique periodic solution of one-dimensional periodic differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of closed solutions to an equation \(\dot x=f(t,x)\), where \(f_{x^ n}(t,x)\geq 0\) (n=1,2,or 3)
• First order ordinary differential equations with several periodic solutions
• On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
• Qualitative behavior of the solutions of periodic first order scalar differential equations with weakly concave nonlinearity
• Periodic Equilibria under Periodic Harvesting
• Periodic solutions of polynomial first order differential equations
• The Number of Periodic Solutions of the Equation Ż=z ^N +p ₁ (t )z ^{N −1} +…+p _N (t )