Results 21 to 30 of about 2,445,513 (291)

Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations

open access: yesMathematics, 2021
We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions
Gennadii V. Demidenko   +1 more
doaj   +1 more source

FOURIER PROBLEM FOR WEAKLY NONLINEAR EVOLUTION INCLUSIONS WITH FUNCTIONALS

open access: yesJournal of Optimization, Differential Equations and Their Applications, 2019
The Fourier problem or, in other words, the problem without initial conditions for evolution equations and inclusions arise in modeling different nonstationary processes in nature, that started a long time ago and initial conditions do not affect on them
Mykola M. Bokalo, Iryna V. Skira
doaj   +1 more source

WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES

open access: yesПроблемы анализа, 2022
We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal   +3 more
doaj   +1 more source

DIFFERENTIAL EQUATIONS ON GRAPHS [PDF]

open access: yesMathematics of the USSR-Sbornik, 1972
Summary: The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations.
openaire   +2 more sources

Constructive method for solvability of Fredholm equation of the first kind

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
doaj   +1 more source

Controlled K-Fusion Frame for Hilbert Spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia   +2 more
doaj   +1 more source

The Cauchy Problem for Parabolic Equations with Degeneration

open access: yesAdvances in Mathematical Physics, 2020
Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set ...
Ivan Pukal’skii, Bohdan Yashan
doaj   +1 more source

Asymptotic behaviours of stochastic differential delay equations [PDF]

open access: yes, 2006
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong
core   +4 more sources

Isospectral Dirac operators

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
We give the description of self-adjoint regular Dirac operators, on $[0, \pi]$, with the same spectra.
Yuri Ashrafyan, Tigran Harutyunyan
doaj   +1 more source

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