Volume 24 Issue 2 | Journal of Integral Equations and Applications

Journal of Integral Equations and Applications

VOL. 24 · NO. 2 | SUMMER 2012

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Front Matter

Table of Contents, Journal of Integral Equations and Applications, vol. 24, no. 2, (2012)

J. Integral Equations Applications 24 (2), (SUMMER 2012) Open Access

No abstract available

Articles

On some new Gronwall Bellman Ou-Iang type integral inequalities to study certain epidemic models

A. Abdeldaim

J. Integral Equations Applications 24 (2), 149-166, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-149 Open Access

KEYWORDS: Gronwall Bellman's inequality, Ou-Iang's inequality, epidemic models, qualitative behavior and quantitative properties for solutions of differential equations

No abstract available

Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to Volterra integral equations

Ravi P. Agarwal, Donal O'Regan, Mohamed-Aziz Taoudi

J. Integral Equations Applications 24 (2), 167-181, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-167 Open Access

KEYWORDS: Convex-power condensing operators, ‎fixed point theorems, measure of weak noncompactness, 47H10, 47H30

No abstract available

Nonlocal initial boundary value problem for a fractional integrodifferential equation in a Banach space

A. Anguraj, P. Karthikeyan

J. Integral Equations Applications 24 (2), 183-194, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-183 Open Access

KEYWORDS: Existence of solution, fractional integro differential equation, Krasnoselkii theorem, contraction mapping principle, 34A12, 34G20

No abstract available

Systems of singularly perturbed fractional integral equations

Angelina M. Bijura

J. Integral Equations Applications 24 (2), 195-211, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-195 Open Access

KEYWORDS: 45D05, 45F15, 26A33, 34E15, 33E12

No abstract available

Fast singularity preserving methods for integral equations with non-smooth solutions

Jie Chen, Zhongying Chen, Yongdong Zhang

J. Integral Equations Applications 24 (2), 213-240, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-213 Open Access

KEYWORDS: multiscale methods, singularity preserving methods, multilevel augmentation methods, Fredholm integral equations, non-smooth solutions, 65R20, 45E99

No abstract available

A quadrature method for systems of Cauchy singular integral equations

M.C. De Bonis, C. Laurita

J. Integral Equations Applications 24 (2), 241-271, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-241 Open Access

KEYWORDS: Cauchy singular integral equation, quadrature method, Lagrange interpolation, 65R20, 45E05

No abstract available

Existence of three solutions to impulsive differential equations

Jianli Li, Jianhua Shen

J. Integral Equations Applications 24 (2), 273-281, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-273 Open Access

KEYWORDS: Impulsive differential equation, boundary value problem, critical point theorem, 34A37, 34K10

No abstract available

On the application of sequential and fixed-point methods to fractional differential equations of arbitrary order

Christopher C. Tisdell

J. Integral Equations Applications 24 (2), 283-319, (SUMMER 2012) DOI: 10.1216/JIE-2012-24-2-283 Open Access

KEYWORDS: existence and uniqueness of solutions, nonlinear fractional differential equations of arbitrary order, Gronwall inequality, Initial value problem, Cauchy-Peano method, successive approximations, topological degree, 34A08, 34A12

No abstract available

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