Results 1 to 10 of about 576 (215)

A Singular Nonlinear Volterra Integral Equation [PDF]

Journal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
Gilding, B.H.
exaly   +6 more sources

Singular Volterra integral equations

Applied Mathematics Letters, 2000
The authors study the existence of a nonnegative solution to the Volterra integral equation \[ y(t) = h(t)+ \int_0^t k(t,s)f(s,y(s)) ds,\quad t\in [0,T], \] where the nonlinearity \(f(t,y)\) may be singular at \(y=0\). The assumptions used are such that they easily get a result on the existence of a solution of the singular initial value problem \(y ...
R P Agarwal, D O´Regan
exaly   +2 more sources

Nondecreasing solutions of a quadratic singular Volterra integral equation

Mathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Józef Banas, Beata Rzepka
exaly   +3 more sources

Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle [PDF]

SIAM Journal on Control and Optimization, 2020
30 ...
Jiongmin Yong
exaly   +3 more sources

Existence of solutions for a class of nonlinear Volterra singular integral equations

Computers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Aghajani, Józef Banas, Yaghoub Jalilian   +2 more
exaly   +3 more sources

Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov, N.K. Gulmanov, S.S. Kopbalina   +2 more
doaj   +2 more sources

Solution of the boundary value problem of heat conduction in a cone [PDF]

Opuscula Mathematica, 2022
In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time.
Murat Ramazanov, Muvasharkhan Jenaliyev, Nurtay Gulmanov   +2 more
doaj   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Вестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov, Nurtay Kudaibergenovich Gulmanov   +1 more
doaj   +1 more source

Singular Control of Stochastic Volterra Integral Equations

Acta Mathematica Scientia, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agram, Nacira, Labed, Saloua, Øksendal, Bernt Karsten, Yakhlef, Samia   +3 more
openaire   +4 more sources

Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]

Opuscula Mathematica, 2015
The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
doaj   +1 more source