Two bump solutions of a homogenized Wilson–Cowan model with periodic microstructure

Existence of Two Positive Periodic Solutions for a Neutral Multi-Delay Logarithmic Population Model with a Periodic Harvesting Rate

and Applied Analysis 3 The following lemma 11, page 213 will play a key role in this paper. Lemma 2.2. Let L be a Fredholm mapping of index zero and let N : Ω → Z be L-k-set contractive on Ω, k < 1. Suppose i Lx/ λNx for every x ∈ domL ∩ ∂Ω and every λ ∈ 0, 1 ; ii QNx/ 0 for every x ∈ ∂Ω ∩ KerL; iii Brouwer degree degB JQN, Ω ∩ KerL, 0 / 0. Then Lx Nx has at least one solution in domL ∩Ω. 3. Ma...

Two Positive Periodic Solutions for a Neutral Delay Model of Single-Species Population Growth with Harvesting

Periodic solutions for a two-neuron network with delays

In this paper, we use the coincidence degree theory to establish new results on the existence of w-periodic solutions for a two-neuron network model. @ 2006 Elsevier Ltd. All rights reserved.

Periodic Solutions for a Liénard Equation with Two Deviating Arguments

In this work, we prove the existence and uniqueness of periodic solutions for a Liénard equation with two deviating arguments. Our main tools are the Mawhin’s continuation theorem and the Schwarz inequality. We obtain our results under weaker conditions than those in [14], as shown by an example in the last section of this artticle.

Periodic solutions of a logistic type population model with harvesting

Article history: Received 12 February 2010 Available online 13 April 2010 Submitted by P. Sacks