Results 41 to 50 of about 14,489,673 (236)

A construction of analog of Fredgolm theorems for one class of first order model integro-differential equation with logarithmic singularity in the kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The integral representations of the solution manifold for one class of the first order model integro-differential equation with logarithmic singularity in the kernel are constructed using arbitrary constants. The cases when the given integro-differential
Sarvar K Zaripov
doaj   +1 more source

Global well-posedness of the short-pulse and sine-Gordon equations in energy space

open access: yes, 2010
We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J.   +5 more
core   +1 more source

The Singular Set of Higher Dimensional Unstable Obstacle Type Problems

open access: yes, 2012
In this paper we will investigate the singular points of the following unstable free boundary problem: {equation}\label{Eq} \Delta u= -\chi_{\{u>0\}} \quad\quad\textrm{in} B_1(0) {equation} where $\chi_{\{u>0\}}$ is the characteristic function of the set
Andersson, John   +2 more
core   +1 more source

Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations

open access: yesMathematics, 2020
It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
doaj   +1 more source

Statistical-mechanical theory of the overall magnetic properties of mesocrystals

open access: yes, 2004
The mesocrystal showing both electrorheological and magnetorheological effects is called electro-magnetorheological (EMR) solids. Prediction of the overall magnetic properties of the EMR solids is a challenging task due to the coexistence of the ...
C. J. F. Böttcher   +11 more
core   +1 more source

General formula for stability testing of linear systems with fractional-delay characteristic equation

open access: yes, 2013
In some applications (especially in the filed of control theory) the characteristic equation of system contains fractional powers of the Laplace variable s possibly in combination with exponentials of fractional powers of s.
F. Merrikh‐Bayat
semanticscholar   +1 more source

On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences

open access: yesMathematics, 2020
In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
doaj   +1 more source

Extension of the characteristic equation to absorption chillers with adiabatic absorbers

open access: yes, 2012
Various researchers have developed models of conventional H2O–LiBr absorption machines with the aim of predicting their performance. In this paper, the methodology of characteristic equations developed by Hellmann et al. (1998) is applied.
G. Gutiérrez-Urueta   +4 more
semanticscholar   +1 more source

Generalized characteristic singular integral equation with Hilbert kernel [PDF]

open access: yesOpuscula Mathematica, 2008
In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Paweł Karczmarek
doaj  

Digital computer program for analyzing chugging instabilities [PDF]

open access: yes, 1971
Program computes combustion delays, gas residence time, characteristic velocity, and other steady-state parameters required for solution of the characteristic equation.
Szuch, J. R.
core   +1 more source

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