Results 11 to 20 of about 2,525 (268)

Numerical treatments for solving nonlinear mixed integral equation

Alexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions

Boundary Value Problems, 2022
We concentrate on a category of singular boundary value problems of fractional differential equations with integral boundary conditions, in which the nonlinear function f is singular at t = 0 $t=0$ , 1.
Debao Yan
doaj   +1 more source

Singular integral inequalities with several nonlinearities and integral equations with singular kernels [PDF]

Nonlinear Oscillations, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Continuous operator method application for direct and inverse scattering problems

Журнал Средневолжского математического общества, 2021
We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V., Roudnev Vladimir A., Boykova Alla I., Stepanov Nikita S.   +3 more
doaj   +1 more source

Symmetrically coupled higher-order nonlinear Schrödinger equations: singularity analysis and integrability [PDF]

Journal of Physics A: Mathematical and General, 2000
The integrability of a system of two symmetrically coupled higher-order nonlinear Schr dinger equations with parameter coefficients is tested by means of the singularity analysis. It is proven that the system passes the Painlev test for integrability only in ten distinct cases, of which two are new.
Sakovich, S. Yu., Tsuchida, Takayuki
openaire   +3 more sources

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj  

Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations

Mathematical Modelling and Analysis, 1997
„Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
doaj   +1 more source

Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type

Journal of Inequalities and Applications, 2019
Some new nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type are given. The estimations of unknown functions are obtained by analysis techniques.
Ran Yan, Fanwei Meng
doaj   +1 more source

A Singular Nonlinear Volterra Integral Equation

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 ...
openaire   +4 more sources

Nonlinear integral equations singular in the dependent variable

Applied Mathematics Letters, 2007
This paper concerns the existence of nonnegative solutions to the singular integral equation \(y(t)=\int^1_0 k(t,s)[G(s,y(s))+F(s,y(s))]ds\) \((t\in [0,1])\), where \(G\in C([0,1]\times (0,\infty),[0,\infty))\), \(F\in C([0,1]\times [0,\infty),[0,\infty))\) so \(G\) may be singular at \(y=0\).
O’Regan, Donal, Agarwal, Ravi P., Perera, Kanishka   +2 more
openaire   +2 more sources