Results 81 to 90 of about 17,216 (210)

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

open access: yesElectronic 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  

Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]

open access: yes, 2009
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A.   +3 more
core   +1 more source

On a reachability set of automaton counter machines

open access: yesМоделирование 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

open access: yesResults 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

open access: yesAbstract 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

A CARLEMAN'S INEQUALITY FOR A SYSTEM OF COUPLED PARABOLIC EQUATIONS

open access: yesPesquimat, 2014
In this work we consider a linearized system of parabolic equations associated to a semilinear system of heat equations. Following the ideas of O. Imanuvilov, M. Yamamoto and L.
Víctor Rafael Cabanillas Zannini
doaj   +1 more source

A Characterization of Completeness via Absolutely Convergent Series and the Weierstrass Test in Asymmetric Normed Semilinear Spaces

open access: yesAbstract and Applied Analysis, 2014
Asymmetric normed semilinear spaces are studied. A description of biBanach, left K-sequentially complete, and Smyth complete asymmetric normed semilinear spaces is provided and three appropriate notions of absolute convergence in the asymmetric normed ...
N. Shahzad, O. Valero
doaj   +1 more source

Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non-Lipschitz Coefficients

open access: yesAdvances in Mathematical Physics, 2013
Semilinear stochastic dynamic systems in a separable Hilbert space often model some evolution phenomena arising in physics and engineering. In this paper, we study the existence and uniqueness of mild solutions to neutral semilinear stochastic functional
Feng Jiang
doaj   +1 more source

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