Results 31 to 40 of about 96,434 (313)

A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]

open access: yes, 2014
We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana   +2 more
core   +1 more source

A nonlocal supercritical Neumann problem [PDF]

open access: yes, 2019
We establish existence of positive non-decreasing radial solutions for a nonlocal nonlinear Neumann problem both in the ball and in the annulus. The nonlinearity that we consider is rather general, allowing for supercritical growth (in the sense of ...
Cinti, Eleonora, Colasuonno, Francesca
core   +2 more sources

A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]

open access: yes, 2003
We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N.   +11 more
core   +1 more source

Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations [PDF]

open access: yes, 2012
This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts.
Babaoglu, Ceni   +4 more
core   +2 more sources

Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces

open access: yesJournal of Function Spaces, 2016
Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
doaj   +1 more source

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

open access: yesLietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
doaj   +3 more sources

Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory

open access: yesLietuvos Matematikos Rinkinys, 2021
Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications [PDF]

open access: yes, 2018
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size $h>0$ \[ (-\Delta_h)^su=f, \] for $u,f:\mathbb{Z}_h\to\mathbb{R ...
Ciaurri, Ó.   +4 more
core   +2 more sources

Remarks on the Nonlocal Dirichlet Problem [PDF]

open access: yesPotential Analysis, 2020
AbstractWe study translation-invariant integrodifferential operators that generate Lévy processes. First, we investigate different notions of what a solution to a nonlocal Dirichlet problem is and we provide the classical representation formula for distributional solutions.
Grzywny, Tomasz   +2 more
openaire   +4 more sources

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