Results 21 to 30 of about 195,496 (282)

About the existence and uniqueness theorem for hyperbolic equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
In this paper we prove the existence and uniqueness theorem for almost everywhere solution of the hyperbolic equation using the method of successive approximations [1].
M. E. Khalifa
doaj   +1 more source

The Continuous Classical Boundary Optimal Control of a Couple Nonlinear Elliptic Partial Differential Equations with State Constraints

open access: yesAl-Mustansiriyah Journal of Science, 2019
This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy   +1 more
doaj   +1 more source

LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]

open access: yes, 2011
We present a unified approach to study large positive solutions (i.e., u ( x ) → ∞ u(x)\to \infty as x → ∂ Ω x\to \partial \Omega ) of the equation
Dindos, Martin
core   +1 more source

Uniqueness and Pseudolocality Theorems of the Mean Curvature Flow

open access: yes, 2006
Mean curvature flow evolves isometrically immersed base manifolds $M$ in the direction of their mean curvatures in an ambient manifold $\bar{M}$. If the base manifold $M$ is compact, the short time existence and uniqueness of the mean curvature flow are ...
Chen, Bing-Long, Yin, Le
core   +3 more sources

Energy inequalities for a model of wave propagation in cold plasma [PDF]

open access: yes, 2007
Energy inequalities are derived for an elliptic-hyperbolic operator arising in plasma physics. These inequalities imply the existence of distribution and weak solutions to various closed boundary-value problems.
Otway, Thomas H.
core   +5 more sources

An existence and uniqueness theorem for incremental viscoelasticity [PDF]

open access: yesQuarterly of Applied Mathematics, 1985
In this work the authors consider motions of a viscoelastic body which are incremental in the sense that they are close to a non-equilibrium, nonlinear deformation of the body. They first derive the linearized equations describing such motions and then proceed to establish the existence and uniqueness of solution for the Dirichlet boundary-value ...
Quintanilla, R., Williams, H. T.
openaire   +2 more sources

Uncertain fractional forward difference equations for Riemann–Liouville type

open access: yesAdvances in Difference Equations, 2019
To model complex systems with discrete-time features and memory effects in the uncertain environment, a definition of an uncertain fractional forward difference equation with Riemann–Liouville-like forward difference is introduced.
Qinyun Lu, Yuanguo Zhu, Ziqiang Lu
doaj   +1 more source

Existence of Square-Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces

open access: yesAbstract and Applied Analysis, 2014
The existence and uniqueness of square-mean almost automorphic mild solution to a stochastic functional integrodifferential equation is studied. Under some appropriate assumptions, the existence and uniqueness of square-mean almost automorphic mild ...
Lijie Li
doaj   +1 more source

On one existence and uniqueness theorem

open access: yesLithuanian 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.
openaire   +2 more sources

Some fixed point and stability results in b-metric-like spaces with an application to integral equations on time scales

open access: yesAIMS Mathematics
This paper presents the stability theorem for the $ T $-Picard iteration scheme and establishes the existence and uniqueness theorem for fixed points concerning $ T $-mean nonexpansive mappings within $ b $-metric-like spaces.
Zeynep Kalkan   +3 more
doaj   +1 more source

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