nonlinear integral equations
An approximation method for the solving a class of nonlinear integral equations
... solve nonlinear integral equations in terms of Chebyshev ...the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown ...
7
On new evolution of Ri’s result via w distances and the study on the solution for nonlinear integral equations and fractional differential equations
... The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of ...
15
Analysis of Abel-type nonlinear integral equations with weakly singular kernels
... In this paper, we investigate Abel-type nonlinear integral equations with weakly singular kernels. Existence and uniqueness of nontrivial solution are presented in an order interval of a cone by ...
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Iterative Solutions of Nonlinear Integral Equations of Hammerstein Type
... ential equations, for instance, elliptic boundary value problems whose linear parts possess Greens functions can, as a rule, be transformed into the form ...
13
On the nonexistence of positive solution of some singular nonlinear integral equations
... Long, On the nonexistence of positive solution of Laplace equation in halfspace R+N with a nonlinear Neumann boundary condition, Demonstratio Mathematica 33 2000, no.. Samarskiı̆, A nonl[r] ...
10
Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
... Volterra integral equations, the interest on this kind of stability of these integral equations is quite recent, see [3, 4, 7, 8, ...the Nonlinear Volterra integral ...
6
Solutions of nonlinear integral equations and their application to singular perturbation problems
... Wasow [8] proves the existence of a solution and develops a single uniform asymptotic expansion for that solution in the case of a second order differential equation of the form 1.3 wit[r] ...
70
Existence and approximate solutions of nonlinear integral equations
... amount of work has been done in the existence and uniqueness of solutions of some special cases of Volterra integral equations, see for example [3, 6, 10, 18]. Under some conditions on the function g(t,s,x) ...
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Existence Results for Some Nonlinear Functional-Integral Equations in Banach Algebra with Applications
... of nonlinear analysis, which act as principal role for the solvability of linear and nonlinear integral ...such integral equations is developed effectively and emerge in the fields of ...
10
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... and nonlinear Volterra integral equations of the second ...converting integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to ...
7
Convergence of Discrete Adomian Method for Solving a Class of Nonlinear Fredholm Integral Equations
... Integral equations provide an important tool for modeling a numerous phenomena and processes and also for solv- ing boundary value problems for both ordinary and par- tial differential ...gral ...
6
On local attractivity of nonlinear functional integral equations via measures of noncompactness
... from nonlinear set-contractivity it follows that µ (T ( Fix (T ))) ≤ φ ( µ ( Fix (T ))) which is a contradiction since φ ( r ) < r for r > ...of nonlinear integral ...
11
Hammerstein integral equations with indefinite kernel
... On nonlinear integral equations of the Hammerstein type, in Nonlinear Integral .Equation, pp.99-154, Univ.. and Meyers, D..[r] ...
15
Some nonlinear integral inequalities for Volterra-Fredholm Integral equations
... some nonlinear Volterra-Fredholm integral inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some Volterra-Fredholm ...
11
Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... parabolic partial differential equations (see [4, 11]) as the well known Gronwall inequality in the theory of ordinary differ- ential equations.Ye et al. [5] proved a generalization of this type of inequalities ...
8
Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
... Several new existence and uniqueness results for problems (1)–(2) and (3)–(4) are proved by using a variety of fixed point theorems (such as Banach contraction princi- ple, Krasnoselskii’s fixed point theorem, ...
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A positive fixed point theorem with applications to systems of Hammerstein integral equations
... Hammerstein integral equations has been widely studied; see for example [–] and references ...Hammerstein integral equations of the ...
10
GLOBAL ATTRACTIVITY OF SOLUTIONS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS IN TWO VARIABLES
... [15] B.C. Dhage, A.V. Deshmukh, On asymptotic behavior of a nonlinear func- tional integral equation, Commun. Appl. Nonlinear Anal. 15 (2008), 55–67. [16] B.C. Dhage, S.B. Dhage, J.R. Graef, Local ...
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Numerical investigation of nonlinear volterra hammerstein integral equations via single term haar wavelet series
... differential equations have been developed continuously by many ...Hammerstein integral equations are known. For Fredholm- Hammerstein integral equations, the classical method of ...
5
The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... Abstract. In this paper, we solved some problems of nonlinear second kind of Volterra integral equations by Optimal Homotopy Asymptotic Method(OHAM). We compared the results obtained by OHAM with the ...
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