Results 51 to 60 of about 8,147,434 (373)

Global existence for nonlinear operator inclusions

Computers & Mathematics with Applications, 1999
This article deals with some existence results for abstract operator inclusions of type \[ y(t)\in Vy(t)+ \int^t_0 Wy(s)ds\quad\text{or}\quad y(t)\in Vy(t)+ \int^T_0 Wy(s) ds \] with multivalued compact operators \(V\) and \(W\) having properties of upper or lower semicontinuity.
Agarwal, R.P., O'Regan, D.
openaire   +4 more sources

Global existence and blow-up of weak solutions for a class of fractional p-Laplacian evolution equations

Advances in Nonlinear Analysis, 2020
In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
doaj   +1 more source

Global boundedness of a higher-dimensional chemotaxis system on alopecia areata

Mathematical Biosciences and Engineering, 2023
This paper mainly focuses on the dynamics behavior of a three-component chemotaxis system on alopecia areata $ \begin{equation*} \left\{ \begin{array}{lll} u_t = \Delta{u}-\chi_1\nabla\cdot(u\nabla{w})+w-\mu_1u^2, &x\in\Omega, t>0, \\ v_t ...
Wenjie Zhang, Lu Xu, Qiao Xin
doaj   +1 more source

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Existence of Compactly Supported Global Minimisers for the Interaction Energy

, 2015
The existence of compactly supported global minimisers for continuum models of particles interacting through a potential is shown under almost optimal hypotheses.
Carrillo, J. A., Cañizo, J. A., Patacchini, F. S.   +2 more
core   +1 more source

Global Existence for the Confined Muskat Problem [PDF]

SIAM Journal on Mathematical Analysis, 2014
29 pages, 1 ...
openaire   +4 more sources

Network topology drives population temporal variability in experimental habitat networks

Population Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu, J. Angus Webb, William D. Bovill, Elise L. King   +3 more
wiley   +1 more source

Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels

Nonautonomous Dynamical Systems, 2020
In this paper, we study the global existence of solutions to some semilinear integro-differential evolution equations in Hilbert spaces with sign-varying kernels.
Jin Kun-Peng, Liang Jin, Xiao Ti-Jun
doaj   +1 more source

Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

Communications in Analysis and Mechanics, 2023
In this work, the initial-boundary value problem for the global dynamical properties of solutions to a class of finite degenerate fourth-order parabolic equations with mean curvature nonlinearity is studied.
Yuxuan Chen
doaj   +1 more source

Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering [PDF]

, 2015
We develop inverse scattering for the derivative nonlinear Schrödinger equation (DNLS) on the line using its gauge equivalence with a related nonlinear dispersive equation.
Jiaqi Liu, P. Perry, C. Sulem
semanticscholar   +1 more source