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Chinese Journal of Mathematics
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This is an Open Access Journal

Open Access journal
ISSN (Online) 2314-8071
Published by Hindawi

[335 journals]

Continuous Dependence for Two Implicit Kirk-Type Algorithms in General
Hyperbolic Spaces
- Abstract: This paper aims to study extensively some results concerning continuous dependence for implicit Kirk-Mann and implicit Kirk-Ishikawa iterations. In order to equipoise the formation of these algorithms, we introduce a general hyperbolic space which is no doubt a free associate of some known hyperbolic spaces. The present results are extension of other results and they can be used in many applications.
  PubDate: Wed, 21 Jun 2017 06:50:10 +000
Some Stochastic Functional Differential Equations with Infinite Delay: A
Result on Existence and Uniqueness of Solutions in a Concrete Fading
Memory Space
- Abstract: This paper is devoted to existence and uniqueness of solutions for some stochastic functional differential equations with infinite delay in a fading memory phase space.
  PubDate: Sun, 16 Apr 2017 00:00:00 +000
Problems with Mixed Boundary Conditions in Banach Spaces
- Abstract: Using Leray-Schauder degree or degree for -condensing maps we obtain the existence of at least one solution for the boundary value problem of the following type: , where is a homeomorphism with reverse Lipschitz constant such that , is a continuous function, is a positive real number, and is a real Banach space.
  PubDate: Wed, 15 Mar 2017 10:01:13 +000
Influence of a Moving Mass on the Dynamic Behaviour of Viscoelastically
Connected Prismatic Double-Rayleigh Beam System Having Arbitrary End
Supports
- Abstract: This paper deals with the lateral vibration of a finite double-Rayleigh beam system having arbitrary classical end conditions and traversed by a concentrated moving mass. The system is made up of two identical parallel uniform Rayleigh beams which are continuously joined together by a viscoelastic Winkler type layer. Of particular interest, however, is the effect of the mass of the moving load on the dynamic response of the system. To this end, a solution technique based on the generalized finite integral transform, modified Struble’s method, and differential transform method (DTM) is developed. Numerical examples are given for the purpose of demonstrating the simplicity and efficiency of the technique. The dynamic responses of the system are presented graphically and found to be in good agreement with those previously obtained in the literature for the case of a moving force. The conditions under which the system reaches a state of resonance and the corresponding critical speeds were established. The effects of variations of the ratio of the mass of the moving load to the mass of the beam on the dynamic response are presented. The effects of other parameters on the dynamic response of the system are also examined.
  PubDate: Sun, 26 Feb 2017 00:00:00 +000

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