Results 61 to 70 of about 17,216 (210)
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
Existence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2018 In this article we consider the radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius $R>0$, $B_{R}$, centered at the origin in ${\mathbb R}^N$ with $u=0$ on $\partial B_{R}$ and $\lim_{r \to \infty} u(r)=0$ where $N>2$, $
Joseph A. Iaia
doaj
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 8681-8690, June 2026.ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley +1 more source
Existence and nonexistence of solutions for semilinear equations on exterior domains
Electronic Journal of Differential Equations, 2016 In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0 centered at the origin in ${\mathbb R}^{N}$ where f is odd with f0 on $(\beta, \delta)$, $f\equiv 0$ for $u> \delta$, and where the ...
Joseph A. Iaia
doaj
Controllability of conformable differential systems
Nonlinear Analysis, 2020 This paper deals with complete controllability of systems governed by linear and semilinear conformable differential equations. By establishing conformable Gram criterion and rank criterion, we give sufficient and necessary conditions to examine that a ...
Xiaowen Wang +2 more
doaj +1 more source
A semilinear integrodifferential inverse problem [PDF]
, 2019 J. Goldstein, R. Nagel and S. Romanelli editors, Marcel Dekker, Inc., lecture Notes in Mathematics 234 Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance.
F. COLOMBO, VESPRI, VINCENZO
openaire +3 more sources
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Existence and nonexistence of solutions for sublinear equations on exterior domains
Electronic Journal of Differential Equations, 2017 In this article we study radial solutions of $\Delta u + K(r)f(u)= 0$ on the exterior of the ball of radius R>0, $B_{R}$, centered at the origin in ${\mathbb R}^{N}$ with u=0 on $\partial B_{R}$ where f is odd with f0 on $(\beta, \infty)$, $f(u)\sim u^
Joseph A. Iaia
doaj
Application of operator splitting to solve reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
doaj +1 more source
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
wiley +1 more source