Results 41 to 50 of about 920,770 (191)

Finite systems of equations and implicit functions

open access: yes, 2009
19 pages, 1 ...
Zabreĭko, P. P., Krivko-Kras'ko, A. V.
openaire   +3 more sources

On some singular systems of parabolic functional equations [PDF]

open access: yesMathematica Bohemica, 2010
Summary: We will prove existence of weak solutions of a system, containing non-local terms \(u\), \(w\).
openaire   +1 more source

Unique solvability
 of second order functional differential equations with non-local
 boundary conditions

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
Some general conditions sufficient for unique solvability of the
 boundary-value problem for a system of linear functional
 differential equations of the second order are established.
Natalia Dilna
doaj   +1 more source

ON ONE NONLINEAR INTEGRABLE MODEL OF WAVE INTERACTION

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. In this work, the functional method is applied to a first-order matrix system and the corresponding equations of wave dynamics are derived.
V. M. Zhuravlev
doaj   +1 more source

On some properties of a system of nonlinear partial functional differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj   +1 more source

An Application of the Hamilton–Ostrogradsky Principle to the Modeling of an Asymmetrically Loaded Three-Phase Power Line

open access: yesEnergies, 2022
This paper presents a mathematical model of an electric power system which consists of a three-phase power line with distributed parameters and an equivalent, unbalanced RLC load cooperating with the line.
Andriy Chaban   +3 more
doaj   +1 more source

A long-wave action of spin Hamiltonians and the inverse problem of the calculus of variations

open access: yes, 2003
We suggest a method of derivation of the long-wave action of the model spin Hamiltonians using the non-linear partial differential equations of motions of the individual spins.
A.S. Ovchinnikov   +11 more
core   +1 more source

Oscillation for Systems of Functional Differential Equations

open access: yesJournal of Mathematical Analysis and Applications, 1996
The system \(x'(t)= Q_0x(t)+ \int^0_{-r} d\eta(\theta) x(t+\theta)\) is considered, where \(r>0\), \(Q_0\), \(\eta(\theta)\in \mathbb{R}^{n\times n}\) for \(\theta\in [-r,0]\) and \(\eta\) is a function of bounded variation. Sufficient conditions for oscillation of all solutions of the system are given.
openaire   +1 more source

Excited State TBA for the $\phi_{2,1}$ perturbed $M_{3,5}$ model

open access: yes, 2002
We examine some excited state energies in the non-unitary integrable quantum field theory obtained from the perturbation of the minimal conformal field theory model $M_{3,5}$ by its operator $\phi_{2,1}$.
Baxter   +41 more
core   +1 more source

General decay estimate for coupled plate problem with memory

open access: yesResults in Applied Mathematics, 2022
This article considers a coupled system of non-linear plate equations with partially hinged boundary conditions. By assuming general conditions on the relaxation functions, we show that the associated energy functional satisfy a general decay estimate ...
Soh Edwin Mukiawa   +3 more
doaj   +1 more source

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