Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems

M. H. Farag farag5358@yahoo.com
T. A. Talaat talaat.2008@yahoo.com
E. M. Kamal esamkamal55@yahoo.com

Downloads

PDF

DOI:

https://doi.org/10.4067/S0719-06462013000200011

Abstract

This paper presents an optimal control of processes described by a quasilinear parabolic systems with controls in the coefficients of equation, in the boundary condition and in the right side of this equation. Theorems concarning the existence and uniqueness for the solution of the cosidering problem are investigated.

Keywords

Optimal control , Quasilinear Parabolic Equation , Existence and Uniqueness Theorems

M. H. Farag Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.
T. A. Talaat Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.
E. M. Kamal Minia University, Department of Mathematics, Faculty of Science, Minia, Egypt.

Pages: 111–119
Date Published: 2013-06-01
Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal

Similar Articles

H. O. Fattorini, Sufficiency of the maximum principle for time optimality , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
Jean M. Tchuenche, A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
M. H. Saleh, S. M. Amer, M. A. Mohamed, N. S. Abdelrhman, Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
G. S. Saluja, Fixed point theorems on cone \(S\)-metric spaces using implicit relation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
L. K. Kikina, I.P. Stavroulakis, A Survey on the Oscillation of Solutions of First Order Delay Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
N. Seshagiri Rao, K. Kalyani, Kejal Khatri, Contractive mapping theorems in Partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)

<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>

You may also start an advanced similarity search for this article.

Downloads

Download data is not yet available.

Published

2013-06-01

How to Cite

[1]

M. H. Farag, T. A. Talaat, and E. M. Kamal, “Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems”, CUBO, vol. 15, no. 2, pp. 111–119, Jun. 2013.

Download Citation

Issue

Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal

Section

Articles

Similar Articles

H. O. Fattorini, Sufficiency of the maximum principle for time optimality , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
A. Kaboré, S. Ouaro, Anisotropic problem with non-local boundary conditions and measure data , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
K. Kalyani, N. Seshagiri Rao, Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
Jean M. Tchuenche, A Uniqueness Theorem in an Age-Physiology Dependent Population Dynamics , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
M. H. Saleh, S. M. Amer, M. A. Mohamed, N. S. Abdelrhman, Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
Mouffak Benchohra, Naima Hamidi, Fractional Order Differential Inclusions via the Topological Transversality Method , CUBO, A Mathematical Journal: Vol. 13 No. 2 (2011): CUBO, A Mathematical Journal
G. S. Saluja, Fixed point theorems on cone \(S\)-metric spaces using implicit relation , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)
L. K. Kikina, I.P. Stavroulakis, A Survey on the Oscillation of Solutions of First Order Delay Difference Equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
N. Seshagiri Rao, K. Kalyani, Kejal Khatri, Contractive mapping theorems in Partially ordered metric spaces , CUBO, A Mathematical Journal: Vol. 22 No. 2 (2020)

<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>

You may also start an advanced similarity search for this article.