Results 51 to 60 of about 3,371,611 (178)

On The Approximate Solution Of A Nonlinear Singular Integral Equation

, 2009
In this study, the existence and uniqueness of the solution of a nonlinear singular integral equation that is defined on a region in the complex plane is proven and a method is given for finding the solution.
Mustafa, Nizami, Ardil, Cemal
openaire   +1 more source

Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. II

SIAM Journal on Numerical Analysis, 1980
We extend the results of Part I [SIAM J. Appl. Math., 39 (1980), pp. 14–20] on the spectrum of the singular integral operator \[ (A{\bf M})(x) = - \frac{1}{{4\pi }}{\operatorname{grad}}{\operatorname{div}}\int_\Omega {\frac{{{\bf M}(y)}}{r}dy.} \] As an application we obtain an estimate of the lower bound of the spectrum of the magnetic field operator $
openaire   +5 more sources

Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions

Boundary Value Problems, 2018
This paper is concerned with the uniqueness of positive solutions for a class of singular fractional differential equations with integral boundary conditions.
Dandan Min, Lishan Liu, Yonghong Wu
doaj   +1 more source

Numerical method for solving scalar problem of monochromatic wave scattering from a screen with nonlinear transmission conditions

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The purpose of the study is to develop a numerical approach for solving the scalar diffraction problem on a flat screen with nonlinear transmission conditions. Material and methods.
V.O. Nesterov, A.A. Tsupak
doaj   +1 more source

Flows of singular vector fields and applications to fluid and kinetic equations [PDF]

, 2015
Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
core   +1 more source

A new formulation of Hermite–Hadamard–Fejer inequalities connected with an extended fractional operator

Journal of Inequalities and Applications
In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities.
Muhammad Younis, Zhi Guo Liu, Muhammad Samraiz, Ahsan Mehmood   +3 more
doaj   +1 more source

Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

Journal of Inequalities and Applications, 2010
Some nonlinear weakly singular integral inequalities in two variables which generalize some known results are discussed. The results can be used as powerful tools in the analysis of certain classes of differential equations, integral equations, and ...
Wang Hong, Zheng Kelong
doaj  

Analytical solution to the nonlinear singular boundary value problem arising in biology

Boundary Value Problems, 2017
This paper proposes an analytical procedure for the nonlinear singular boundary value problem that arises in biology and in the study of some diseases. As a first step, we present a constructive proof of the existence and uniqueness of solution. Then, we
Abdollah Dinmohammadi, Abdolrahman Razani, Elyas Shivanian   +2 more
doaj   +1 more source

Singular Integral Equations with Monotone Nonlinearity in Complex Lebesgue Spaces

Zeitschrift für Analysis und ihre Anwendungen, 1992
By methods of monotone operator theory, existence and uniqueness theorems are proved for some classes of nonlinear singular integral equations of Cauchy’s type involving large nonline-antics in weighted complex Lebesgue spaces and also norm estimates of solutions are obtained.
openaire   +3 more sources

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj