Results 61 to 70 of about 1,588 (189)

A Characterization of Semilinear Dense Range Operators and Applications

Abstract and Applied Analysis, 2013
We characterize a broad class of semilinear dense range operators given by the following formula, , where , are Hilbert spaces, , and is a suitable nonlinear operator.
H. Leiva, N. Merentes, J. Sanchez
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Multiplicity of Positive Solutions for Semilinear Elliptic Systems

Abstract and Applied Analysis, 2013
We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
doaj   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Semilinear problems involving nonlinear operators of monotone type

Results in Nonlinear Analysis, 2019
This is a survey article on semilinear problems with a non-symmetric linear part and a nonlinear part of monotone type in real Hilbert spaces. We study the solvability of semilinear inclusions in the nonresonance and resonance cases.
In-Sook Kim
doaj  

ON AN ESTIMATE FOR THE MODULUS OF CONTINUITY OF A NONLINEAR INVERSE PROBLEM

Ural Mathematical Journal, 2015
A reverse time problem is considered for a semilinear parabolic equation. Two-sided estimates are obtained for the norms of values of a nonlinear operator in terms of the norms of values of the corresponding linear operator.
Elena V. Tabarintseva
doaj   +1 more source

Existence and number of solutions to semilinear equations with applications to boundary-value problems

Electronic Journal of Differential Equations, 2000
solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj  

On a reachability set of automaton counter machines

Моделирование и анализ информационных систем, 2010
Properties of automaton counter machines are investigated. We prove that reachability sets of automaton one-counter machines are semilinear. An algorithm of construction of these semilinear reachability sets is resultexl.
E. V. Kuzmin, D. J. Chalyy
doaj  

Phase-field model with concentrating-potential terms on the boundary

Results in Applied Mathematics
In this paper we analyze a generalization of the semilinear phase field model from G. Caginalp (1986, 1991) and A. Jiménez-Casas-A. Rodriguez-Bernal (1996, 2005), where we consider a singular term concentrated in a neighborhood of Γ, the boundary of ...
Ángela Jiménez-Casas
doaj   +1 more source

Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space

Abstract and Applied Analysis, 2014
This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution ...
Xiaomei Hu
doaj   +1 more source