Mathematical and Computational Applications

2215 KiB

Open AccessArticle

Global Nonexistence of Solutions of the Vibrations of a Riser

by Vural Bayrak and Mehmet Can

Math. Comput. Appl. 1997, 2(1), 45-52; https://doi.org/10.3390/mca2010045 - 01 Apr 1997

Cited by 1 | Viewed by 1003

In this work, the nonexistence of the global solutions of a quasilinear hyperbolic boundary value problem with dissipative term in the equation is considered. In one space dimension this initial value problem models the behavior of a riser vibrating due to the effects [...] Read more.

In this work, the nonexistence of the global solutions of a quasilinear hyperbolic boundary value problem with dissipative term in the equation is considered. In one space dimension this initial value problem models the behavior of a riser vibrating due to the effects of waves and current. The nonexistence proof is achieved by the use of the so called concavity method. In this method one writes down a functional which represents the norm of the solution in some sense. Then it is proved that this functional satisfies the hypotheses of the concavity lemma. Hence one concludes that one cannot continue the solution for all time by showing that this functional and hence the norm of the solution, would otherwise blow up in finite time. Full article

4054 KiB

Open AccessArticle

On Generalized Complementarity Problem

by A. H. Siddiqi and R. Ahmad

Math. Comput. Appl. 1997, 2(1), 31-43; https://doi.org/10.3390/mca2010031 - 01 Apr 1997

Viewed by 905

Abstract

In this paper, we extend generalized implicit complementarity problem and study the existence of the solution of this new problem using variational inequality technique. An algorithm is given to find the approximate solution and prove that this approximate solution converges to the exact [...] Read more.

In this paper, we extend generalized implicit complementarity problem and study the existence of the solution of this new problem using variational inequality technique. An algorithm is given to find the approximate solution and prove that this approximate solution converges to the exact solution of the problem. We also study the sensitivity analysis for generalized variational inequality. Several special cases are also discussed. Full article

2240 KiB

Open AccessArticle

Minimax Optimal Control for One Class of Uncertain Systems

by V. Dzhafarov, A. Karamancıoğlu and S. Çetintaş

Math. Comput. Appl. 1997, 2(1), 21-29; https://doi.org/10.3390/mca2010021 - 01 Apr 1997

Viewed by 983

Abstract

A controllable system described by linear differential equation with uncertainties in the initial condition and forcing function is considered, We aim to find a control which minimizes a cost function having terminal and integral parts, Using game theory and convex analysis, under some [...] Read more.

A controllable system described by linear differential equation with uncertainties in the initial condition and forcing function is considered, We aim to find a control which minimizes a cost function having terminal and integral parts, Using game theory and convex analysis, under some sufficient conditions, the optimal control is obtained. Full article

2463 KiB

Open AccessArticle

Three Dimensional Stress Analysis in the Crowned Human Teeth

by Halil Aykul, Mustafa Toparh, Onur Sayman and Celal Artunç

Math. Comput. Appl. 1997, 2(1), 13-20; https://doi.org/10.3390/mca2010013 - 01 Apr 1997

Viewed by 950

Abstract

The stress distribution on a mandibular right second premolar tooth was investigated by using a three dimensional finite element model. Three crowns cast in different materials were subjected to 11 simulated biting force of 100 N with six different postures. The distribution of [...] Read more.

The stress distribution on a mandibular right second premolar tooth was investigated by using a three dimensional finite element model. Three crowns cast in different materials were subjected to 11 simulated biting force of 100 N with six different postures. The distribution of compressive and tensile stresses on cole and apex was evaluated by using a computer program. The stress component in transverse direction on the cole with porcelain crown was found to be most compatible with enamel when compared with other materials. Full article

3819 KiB

Open AccessArticle

Sum Rule Approach to Nuclear Collective Vibration

by H. Erbil, M. Gerçeklioglu, M. Ilhan and A. Kuliev

Math. Comput. Appl. 1997, 2(1), 1-11; https://doi.org/10.3390/mca2010001 - 01 Apr 1997

Viewed by 965

Abstract

The NEWSR and the EWSR are studied microscopically within TDA and RPA methods. By exploiting the analytic properties of the electromagnetic and allowed β-transitions matrix elements the theory of residue and contour integrals is used IO show that exact calculation of the NEWSR [...] Read more.

The NEWSR and the EWSR are studied microscopically within TDA and RPA methods. By exploiting the analytic properties of the electromagnetic and allowed β-transitions matrix elements the theory of residue and contour integrals is used IO show that exact calculation of the NEWSR and EWSR is possible. In TDA (non-degenerate limit) we deduce formula for the EWSR of Eλ transition strength We have given different way of the proof of Thouless theorem about exactly exhausting the EWSR of Eλ transitions matrix elements in RPA The unlike particle-hole formalism is developed for allowed β transitions We find that TDA and RPA conserve the NEWSR and EWSR for Fermi and G-T β-decays. Full article

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Math. Comput. Appl., Volume 2, Issue 1 (April 1997) – 5 articles , Pages 1-52

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