Results 31 to 40 of about 3,371,611 (178)

Generalized nonlinear weakly singular retarded integral inequalities with maxima and their applications

Journal of Inequalities and Applications, 2018
This paper deals with a generalized nonlinear weakly singular retarded Wendroff-type integral inequality with maxima of an unknown function of two variables.
Yong Yan, Derong Zhou, Jianglin Zhao
doaj   +1 more source

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function

Advances in Mathematical Physics, 2023
In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo, M. Jahangiri Rad   +3 more
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Existence and Global Asymptotic Behavior of Positive Solutions for Superlinear Singular Fractional Boundary Value Problems

Fractal and Fractional, 2023
In this paper, we provide sufficient conditions for the existence, uniqueness and global behavior of a positive continuous solution to some nonlinear Riemann-Liouville fractional boundary value problems.
Entesar Aljarallah, Imed Bachar
doaj   +1 more source

Solution of a singular integral equation by a split-interval method

, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J., Lima, Pedro M., Thomas, Sophy M., Diogo, Teresa   +3 more
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On singular solutions of a multidimensional differential equation of Clairaut-type with power and exponential functions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In the theory of ordinary differential equations, the Clairaut equation is well known. This equation is a non-linear differential equation unresolved with respect to the derivative.
Liliya Leonidovna Ryskina
doaj   +1 more source

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

International Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
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Some Nonlinear Gronwall-Bellman-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications

Abstract and Applied Analysis, 2014
Some Gronwall-Bellman-Gamidov type integral inequalities with power nonlinearity and their weakly singular analogues are established, which can give the explicit bound on solution of a class of nonlinear fractional integral equations.
Kelong Cheng, Chunxiang Guo, Min Tang
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Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper, we study the second-order nonlinear singular Sturm-Liouville boundary value problems with Riemann-Stieltjes integral boundary conditions \begin{equation*}\begin{cases} -(p(t)u'(t))'+q(t)u(t)=f(t,u(t ...
Xiping Liu, Yu Xiao, Jianming Chen
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A Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem [PDF]

Transactions of the American Mathematical Society, 1984
We study the Cauchy problem \[ {
Höllig, Klaus, Nohel, John A.
openaire   +2 more sources

The iterative properties of solutions for a singular k-Hessian system

Nonlinear Analysis, 2023
In this paper, we focus on the uniqueness and iterative properties of solutions for a singular k-Hessian system involving coupled nonlinear terms with different properties.
Xinguang Zhang, Peng Chen, Yonghong Wu, Benchawan Wiwatanapataphee   +3 more
doaj   +1 more source