Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.
Shi Yu, Igor Freire
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Weak solutions of degenerated quasilinear elliptic equations of higher order
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995 We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek +2 more
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On a local degree for a class of multi‐valued vector fields in infinite dimensional Banach spaces
Abstract and Applied Analysis, Volume 1, Issue 4, Page 381-396, 1996., 1996 This paper is devoted to the development of a local degree for multi‐valued vector fields of the form f − F. Here, f is a single‐valued, proper, nonlinear, Fredholm, C1‐mapping of index zero and F is a multi‐valued upper semicontinuous, admissible, compact mapping with compact images.
N. M. Benkafadar, B. D. Gel′man
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High-energy solutions for coupled Schrödinger systems with critical growth and lack of compactness
Advances in Nonlinear AnalysisThis article deals with the existence of high-energy positive solutions for the following coupled Schrödinger system with critical exponent: −Δu+V1(x)u=μ1u3+βuv2,x∈Ω,−Δv+V2(x)v=βu2v+μ2v3,x∈Ω,u,v∈D01,2(Ω)\left\{\begin{array}{l}-\Delta u+{V}_{1}\left(x)u={\
Guan Wen, Wang Da-Bin, Xie Huafei
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T-periodic dynamics in a 3D delayed quasispecies model
Journal of Biological DynamicsWe study periodic dynamics and error-threshold behavior in a delayed quasispecies model consisting of a master sequence [Formula: see text] and two mutant populations [Formula: see text].
Nolbert Morales +2 more
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Positive solutions for second-order differential equations of Kirchhoff type in ℝ
Demonstratio MathematicaThe aim of the present paper is to study the existence of positive solutions for a second-order boundary value problem of Kirchhoff type in R $\mathbb{R}$ . Our approach is based on continuum theory and cut-off function technique.
Ma Ruyun, Zhang Tingting, Tong Xiaolei
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General equilibrium and fixed point theory : a partial survey
, 2009 URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/CESFramDP2009.htmClassification AMS : 47H10, 47H11, 47N10, 49J53, 54H25, 58C30. Publié dans Journal of Fixed Point Theory and Applications http://www.springerlink.com/content/d16n1121tw2l3541/
Ben-El-Mechaiekh, Hichem +2 more
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On periodic solutions of a discrete Nicholson's dual system with density-dependent mortality and harvesting terms. [PDF]
Adv Differ Equ, 2021 Eswari R, Alzabut J, Samei ME, Zhou H.
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MASS TRANSPORT THROUGH CHARGED MEMBRANES Dieter Bothe and Jan Pruss
, 2001 A modern technique for desalination or softening of water is the so-called nano ltration by means of membranes which carry a xed electric charge. For the mathematical modeling of such processes, two features are particularly important.
Warburger Str +1 more
core
A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Fract Calc Appl Anal, 2023 Lan K, Webb JRL.
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