Results 51 to 60 of about 32,733 (217)

Anisotropic equations: Uniqueness and existence results

Differential and Integral Equations, 2008
We study uniqueness of weak solutions for elliptic equations of the following type \[ -\partial_{x_{i}}\left( a_{i}(x,u)\left\vert \partial_{x_{i}}u\right\vert ^{p_{i}-2}\partial_{x_{i}}u\right) +b(x,u) =f(x), \] in a bounded domain $\Omega\subset{\mathbb{R}}^{n}$ with Lipschitz continuous boundary $\Gamma=\partial\Omega$.
Antontsev, Stanislav, Chipot, Michel
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On one existence and uniqueness theorem

Lithuanian Mathematical Journal, 1968
The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: А. В. Кибенко, Л. Г. Чепурнова. Об одной теореме существования и единственности A. Kibenko, L. Čepurnova.
Kibenko, A. V., Chepurnova, L. G.
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Non-abelian Vortices: Existence, Uniqueness and Asymptotics [PDF]

Milan Journal of Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence and uniqueness in critical spaces for the magnetohydrodynamical system in $\mathbb{R}^n$

, 2022
Clément Denis
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Optimal pair of fixed points: existence, uniqueness and approximation

Fixed Point Theory and Algorithms for Sciences and Engineering
In this paper, we introduce a novel class of mappings, referred to as noncyclic generalized θ-contractions. By employing the geometric concept of W U C $WUC$ property in metric spaces, we establish new existence and convergence theorems for the fixed ...
A. Safari-Hafshejani, M. Gabeleh
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A Sharp Existence and Uniqueness Theorem for Linear Fuchsian Partial Differential Equations [PDF]

, 2001
Jose Ernie C. Lope
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Existence of solutions to fractional order ordinary and delay differential equations and applications

Electronic Journal of Differential Equations, 2011
In this article, we discuss the existence and uniqueness of solution to fractional order ordinary and delay differential equations. We apply our results on the single species model of Lotka Volterra type.
Syed Abbas
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Existence and uniqueness for a Ginzburg-Landau system for superconductivity

Electronic Journal of Differential Equations, 2020
We prove the existence of a unique solution for a time-dependent Ginzburg-Landau model in superconductivity under the Coulomb gauge. Also we prove the uniform-in-$\epsilon$ well-posedness of the solution, where $\epsilon$ is the coefficient of the ...
Jishan Fan, Yong Zhou
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Liapunov fundtions and global existence without uniqueness [PDF]

Proceedings of the American Mathematical Society, 1970
In a recent paper J. Kato and A. Strauss character- ized the global existence of solutions of ani ordinary differenitial equation in terms of Liapunov functions in which they assumed the right hand side of the differential equatioln is locally Lipschitz. In the present paper a characterization of global existence of an ordinary differential equation is
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Existence and Uniqueness of Second-Order Impulsive Delay Differential Systems

Axioms
In this paper, we study the existence and uniqueness of second-order impulsive delay differential systems. Firstly, we define cosine-type and sine-type delay matrix functions, which are used to derive the solutions of the impulsive delay differential ...
Yingxia Zhou, Mengmeng Li
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