Results 21 to 30 of about 17,216 (210)

A solution to a fractional order semilinear equation using variational method

open access: yesMathematics in Applied Sciences and Engineering, 2020
We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
doaj   +1 more source

Null controllability of a semilinear degenerate parabolic equation with a gradient term

open access: yesBoundary Value Problems, 2020
This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness
Fengdan Xu, Qian Zhou, Yuanyuan Nie
doaj   +1 more source

Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions [PDF]

open access: yesArchives of Control Sciences, 2022
In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously.
Dalia Cabada   +3 more
doaj   +1 more source

AFL with the semilinear property

open access: yesJournal of Computer and System Sciences, 1971
A slip language is a language whose Parikh mapping is a semilinear set. A slip family is a family containing only slip languages. The purpose of this paper is to study slip AFL. A sufficiency condition is given on a slip family which ensures that the family generates a slip AFL.
Seymour Ginsburg, Edwin H. Spanier
openaire   +1 more source

New discussion concerning to optimal control for semilinear population dynamics system in Hilbert spaces

open access: yesNonlinear Analysis, 2022
The objective of our paper is to investigate the optimal control of semilinear population dynamics system with diffusion using semigroup theory. The semilinear population dynamical model with the nonlocal birth process is transformed into a standard ...
Rohit Patel   +4 more
doaj   +1 more source

A characterization of semilinear sets

open access: yesJournal of Computer and System Sciences, 1970
In this report, the class of semilinear sets is shown to be the least class of sets which contains all of the stratified semilinear sets and is closed under finite intersection.
Leonard Y. Liu, Peter Weiner
openaire   +1 more source

Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity [PDF]

open access: yes, 2006
The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown.
Lancelotti, Sergio, Sergio Lancelotti
core   +1 more source

Poincaré problem with measurable data for semilinear Poisson equation in the plane

open access: yesДоповiдi Нацiональної академiї наук України, 2022
We study the Poincaré boundary-value problem with measurable in terms of the logarithmic capacity boundary data for semilinear Poisson equations defined either in the unit disk or in Jordan domains with quasihyperbolic boundary condition.
V.Ya. Gutlyanskiĭ   +3 more
doaj   +1 more source

Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]

open access: yes, 2012
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin   +5 more
core   +1 more source

On the solvability of a higher-order semilinear ODE

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
The existence of at least one or two nontrivial solutions to a general higher-order boundary value problem is established by using variational tools. Two of the results are obtained without any asymptotic behaviour at infinity of potential $F$ of the ...
Cristian-Paul Danet
doaj   +1 more source

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