Journal of Function Spaces

Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces 2016


Status
Published

Lead Editor

1Rzeszow University of Technology, Rzeszow, Poland

2University of Las Palmas de Gran Canaria, Las Palmas de Gran Canaria, Spain

3Iran University of Science and Technology, Tehran, Iran

4Université Cadi Ayyad, Marrakech, Morocco


Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces 2016

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, and Fréchet spaces. 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 laid 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.)

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 6521420
  • - Editorial

Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces 2016

Józef Banaś | Leszek Olszowy | ... | Mohamed A. Taoudi
  • Special Issue
  • - Volume 2016
  • - Article ID 2920463
  • - Research Article

Solutions to Uncertain Volterra Integral Equations by Fitted Reproducing Kernel Hilbert Space Method

Ghaleb Gumah | Khaled Moaddy | ... | Ishak Hashim
  • Special Issue
  • - Volume 2016
  • - Article ID 8901563
  • - Review Article

Input-to-State Stability of Linear Stochastic Functional Differential Equations

Ramazan Kadiev | Arcady Ponosov
  • Special Issue
  • - Volume 2016
  • - Article ID 7134135
  • - Research Article

Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity

Shengjun Li | Yuming Zhu
  • Special Issue
  • - Volume 2016
  • - Article ID 2941368
  • - Research Article

Solutions for Impulsive Fractional Differential Equations via Variational Methods

Peiluan Li | Hui Wang | Zheqing Li
  • Special Issue
  • - Volume 2016
  • - Article ID 3942707
  • - Research Article

On the Initial Value Problem of Stochastic Evolution Equations in Hilbert Spaces

Xuping Zhang | Yongxiang Li | Pengyu Chen
  • Special Issue
  • - Volume 2016
  • - Article ID 7057910
  • - Research Article

A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions

Wafa Shammakh
  • Special Issue
  • - Volume 2016
  • - Article ID 8317567
  • - Research Article

Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation

Zeqing Liu | Xin Li | ... | Young Chel Kwun
  • Special Issue
  • - Volume 2016
  • - Article ID 8107657
  • - Research Article

Blow-Up Phenomena for Nonlinear Reaction-Diffusion Equations under Nonlinear Boundary Conditions

Juntang Ding
  • Special Issue
  • - Volume 2015
  • - Article ID 287253
  • - Research Article

An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems

Yongxiang Li | Yaya Shang
Journal of Function Spaces
 Journal metrics
Acceptance rate38%
Submission to final decision44 days
Acceptance to publication37 days
CiteScore2.000
Impact Factor1.896
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