Results 21 to 30 of about 3,715,226 (283)

Lagrange stability of semilinear differential-algebraic equations and application to nonlinear electrical circuits [PDF]

open access: yes, 2018
We study a semilinear differential-algebraic equation (DAE) with the focus on the Lagrange stability (instability). The conditions for the existence and uniqueness of global solutions (a solution exists on an infinite interval) of the Cauchy problem, as ...
Filipkovska, Maria
core   +1 more source

Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations

open access: yesAdvances in Nonlinear Analysis, 2022
In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved.
Diblík J., Vážanová G.
doaj   +1 more source

Blow-up of solutions to fractional differential inequalities involving ψ-Caputo fractional derivatives of different orders

open access: yesAIMS Mathematics, 2022
We consider a fractional differential inequality involving $ \psi $-Caputo fractional derivatives of different orders, with a polynomial nonlinearity and a singular potential term.
Ibtisam Aldawish   +2 more
doaj   +1 more source

Nonsingular static global string [PDF]

open access: yes, 1999
A new solution for the spacetime outside the core of a U(1) static global string has been presented which is nonsingular. This is the first example of a nonsingular spacetime around a static global string.}}Comment: Minor corrections added.
A. A. Sen   +14 more
core   +3 more sources

A note on the Fujita exponent in fractional heat equation involving the Hardy potential

open access: yesMathematics in Engineering, 2020
In this work, we are interested on the study of the Fujita exponent and the meaning of the blow-up for the fractional Cauchy problem with the Hardy potential, namely,\begin{equation*}u_t+(-\Delta)^s u=\lambda\dfrac{u}{|x|^{2s}}+u^{p}\;{\rm in ...
Boumediene Abdellaoui   +2 more
doaj   +1 more source

Non-supersymmetric deformations of the dual of a confining gauge theory [PDF]

open access: yes, 2002
We introduce a computational technique for studying non-supersymmetric deformations of domain wall solutions of interest in AdS/CFT. We focus on the Klebanov-Strassler solution, which is dual to a confining gauge theory.
D.Z. Freedman   +23 more
core   +2 more sources

Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian [PDF]

open access: yes, 2015
We consider a partial differential equation that arises in the coarse-grained description of epitaxial growth processes. This is a parabolic equation whose evolution is governed by the competition between the determinant of the Hessian matrix of the ...
Escudero, Carlos   +2 more
core   +1 more source

A study of global monopole in Lyra geometry

open access: yes, 2007
A class of exact static solution around a global monopole resulting from the breaking of a global S0(3) symmetry is obtained in the context of Lyra geometry. Our solution is shown to possess an interesting feature like wormholes space-time.
F. RAHAMAN   +4 more
core   +1 more source

Global solution to the three-dimensional compressible flow of liquid crystals [PDF]

open access: yes, 2013
The Cauchy problem for the three-dimensional compressible flow of nematic liquid crystals is considered. Existence and uniqueness of the global strong solution are established in critical Besov spaces provided that the initial datum is close to an ...
Hu, Xianpeng, Wu, Hao
core   +1 more source

On a price formation free boundary model by Lasry & Lions: The Neumann problem [PDF]

open access: yes, 2011
We discuss local and global existence and uniqueness for the price formation free boundary model with homogeneous Neumann boundary conditions introduced by Lasry & Lions in 2007.
Caffarelli, Luis A.   +2 more
core   +3 more sources

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