Results 31 to 40 of about 697 (183)

Global bifurcation of homoclinic solutions

Journal of Differential Equations
In the analysis of parametrized nonautonomous evolutionary equations, bounded entire solutions are natural candidates for bifurcating objects. Appropriate explicit and sufficient conditions for such branchings, however, require to combine contemporary functional analytical methods from the abstract bifurcation theory for Fredholm operators with tools ...
Iacopo P. Longo, Christian Pötzsche, Robert Skiba   +2 more
openaire   +2 more sources

Positive homoclinic solutions to some Schrödinger type equations

Differential and Integral Equations, 2016
By means of variational methods we prove the existence of a positive, homoclinic solution to an equation of the kind u''=au-bu^p, where p>1, and both coefficients a(x), b(x) are positive and asymptotically constant. Our main result requires a control from above on the ratios .between the supremum of a(x) and its limit at infinity and between the limit ...
GAVIOLI, Andrea, Sanchez, Luis
openaire   +3 more sources

Multiplicity results for the Neumann boundary value problem

Mathematical Modelling and Analysis, 2007
We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
doaj   +1 more source

Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT In discrete nonlinear systems, the study of nonlinear waves has revealed intriguing phenomena in various fields such as nonlinear optics, biophysics, and condensed matter physics. Discrete nonlinear Schrödinger (DNLS) equations are often employed to model these dynamics, particularly in the context of Bose–Einstein condensates and optical ...
Farrell Theodore Adriano, Hadi Susanto
wiley   +1 more source

Homoclinic solutions for Hamiltonian system with impulsive effects

Advances in Difference Equations, 2018
In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such type of systems is revealed.
Jian Liu, Lizhao Yan, Fei Xu, Mingyong Lai   +3 more
doaj   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Generalized homoclinic solutions for the Swift–Hohenberg equation

Journal of Mathematical Analysis and Applications, 2012
The authors study the Swift-Hohenberg equation, which depends on one parameter and describes the onset of the Rayleigh-Bénard heat convection. By giving an explicit construction, they prove the existence of a homoclinic solution connecting a periodic orbit for every positive parameter.
Deng, Shengfu, Li, Xiaopei
openaire   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen, Lars de Jong, Michael Müller   +2 more
wiley   +1 more source

Homoclinic solutions for second order discrete p-Laplacian systems [PDF]

Advances in Difference Equations, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Xiaofei, Chen, Peng
openaire   +1 more source