Journal of Function Spaces

Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces


Publishing date
16 Jan 2015
Status
Published
Submission deadline
29 Aug 2014

Lead Editor

1Department of Mathematics, Rzeszów University of Technology, Rzeszów, Poland

2Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah, Saudi Arabia

3Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, Las Palmas de Gran Canaria, Spain


Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces

Description

In nonlinear analysis, the solvability of several kinds of operator equations is investigated (differential, integral, functional differential, functional integral, and functional). Usually we look for the solutions of those equations in various function spaces such as Banach function spaces, Sobolev spaces, Fréchet spaces, and others. It turns out that in order to ensure the solvability of an operator equation in a concrete function space we are forced to impose some assumptions on functions involved in that equation. The method used in the proof of an existence theorem for an operator equation in a given function space also generates various types of constraints on components of that equation.

The aim of this special issue is to investigate the solvability of operator equations in connection with a function space in which our investigations are conducted. Particular emphasis should be paid on various properties of function spaces which are used in the proof of the solvability of considered operator equations. We are also going to study how function spaces, in which operator equations are considered, affect constraints imposed on components of those equations.

The research and review articles are invited which expose the mentioned connections, but this issue is not limited only to papers representing the above described direction and spirit. We invite especially papers concerning miscellaneous aspects of the asymptotic behavior of solutions of differential, integral, and functional equations. Potential topics include, but are not limited to:

  • Operator equations in the space of functions defined, bounded, and continuous on the real half-axis
  • Operator equations (including partial differential equations) in spaces of functions of several variables
  • Solvability of operator equations in the space of functions with increments tempered by a given modulus of continuity
  • Operator equations in the space of functions of bounded variation (in classical and generalized sense)
  • Operator equations and their solvability in Fréchet spaces
  • Solvability of operator equations in other function spaces (Sobolev spaces, absolutely continuous function space, almost periodic function space, etc.)

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jfs/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/jfs/eabs/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 235043
  • - Editorial

Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces

Józef Banaś | Mohamed Abdalla Darwish | ... | Kishin Sadarangani
  • Special Issue
  • - Volume 2015
  • - Article ID 201946
  • - Research Article

The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation

Xiaoling Han | Juanjuan Huang
  • Special Issue
  • - Volume 2015
  • - Article ID 471235
  • - Research Article

Continuous Dependence of the Solutions of Nonlinear Integral Quadratic Volterra Equation on the Parameter

Szymon Dudek | Leszek Olszowy
  • Special Issue
  • - Volume 2015
  • - Article ID 519747
  • - Research Article

Some Results for Periodic Solutions of a Kind of Liénard Equation

Yong Wang | Xiangyi Yi
  • Special Issue
  • - Volume 2014
  • - Article ID 246258
  • - Research Article

Existence and Uniqueness of Periodic Solutions for Second Order Differential Equations

Yuanhong Wei
  • Special Issue
  • - Volume 2014
  • - Article ID 748792
  • - Research Article

Spectral Distribution of Transport Operator Arising in Growing Cell Populations

Hongxing Wu | Shenghua Wang | Dengbin Yuan
  • Special Issue
  • - Volume 2014
  • - Article ID 384958
  • - Research Article

Existence of Positive Solutions for Some Superlinear Fourth-Order Boundary Value Problems

Imed Bachar | Habib Mâagli
  • Special Issue
  • - Volume 2014
  • - Article ID 538374
  • - Research Article

Asymptotic Study of the 2D-DQGE Solutions

Jamel Benameur | Mongi Blel
  • Special Issue
  • - Volume 2014
  • - Article ID 856183
  • - Research Article

Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces

J. Caballero Mena | R. Nalepa | K. Sadarangani
  • Special Issue
  • - Volume 2014
  • - Article ID 790714
  • - Research Article

Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method

Eman M. A. Hilal | Tarig M. Elzaki
Journal of Function Spaces
 Journal metrics
Acceptance rate23%
Submission to final decision52 days
Acceptance to publication85 days
CiteScore0.750
Impact Factor1.005
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