Nadir Teyar - Academia.edu (original) (raw)

Nadir Teyar

mathematician, poet, translator
Address: Algeria

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Papers by Nadir Teyar

Research paper thumbnail of High Order Mixed Type Differential Equations with Integral Boundary Condition

In this paper, we study a mixed problem for a high order partial differential equation with non c... more In this paper, we study a mixed problem for a high order partial differential equation with non classical boundary condition. We prove the existence and uniqueness of a strong solution. The proof is based on an a priori estimate and on the density of the range of the operator generated by the considered problem.

Research paper thumbnail of A Third Order Hyperbolic Equation with Nonlocal Conditions

In this paper, we study a mixed problem for a third order hyperbolic equation with non classical ... more In this paper, we study a mixed problem for a third order hyperbolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method.

Research paper thumbnail of A Class of Third Order Parabolic Equations with Integral Conditions

In this paper, we study a mixed problem for a third order parabolic equation with non classical b... more In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method. Mathematics Subject Classification: 35B45, 35K35

Research paper thumbnail of On a third order parabolic equation with a nonlocal boundary condition

Journal of Applied Mathematics and Stochastic Analysis, 2000

In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solu... more In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solution upon the data, for a mixed problem which combine classical boundary conditions and an integral condition, such as the total mass, flux or energy, for a third order parabolic equation. We present a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the studied problem.

Research paper thumbnail of A Prediction Model of a Lung Tumor Growth and Chemotherapy Treatment: Equilibrium Points and Stability

Journal of Computer Science & Systems Biology, 2020

The purpose of this paper is to study the prediction model of tumor growth non-vascularized lung ... more The purpose of this paper is to study the prediction model of tumor growth non-vascularized lung cancer (first stage of cancer) before and during chemotherapeutic treatment. This model will be represented by a differential equations system, which will describe, among other things, tumor volume and proliferating cells. Finally, all the numerical results presented in this paper have been implemented in Scilab.

Research paper thumbnail of High Order Mixed Type Differential Equations with Integral Boundary Condition

In this paper, we study a mixed problem for a high order partial differential equation with non c... more In this paper, we study a mixed problem for a high order partial differential equation with non classical boundary condition. We prove the existence and uniqueness of a strong solution. The proof is based on an a priori estimate and on the density of the range of the operator generated by the considered problem.

Research paper thumbnail of A Third Order Hyperbolic Equation with Nonlocal Conditions

In this paper, we study a mixed problem for a third order hyperbolic equation with non classical ... more In this paper, we study a mixed problem for a third order hyperbolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method.

Research paper thumbnail of A Class of Third Order Parabolic Equations with Integral Conditions

In this paper, we study a mixed problem for a third order parabolic equation with non classical b... more In this paper, we study a mixed problem for a third order parabolic equation with non classical boundary condition. We prove the existence and uniqueness of the solution. The proof of the uniqueness is based on a priori estimate and the existence is established by Fourier’s method. Mathematics Subject Classification: 35B45, 35K35

Research paper thumbnail of On a third order parabolic equation with a nonlocal boundary condition

Journal of Applied Mathematics and Stochastic Analysis, 2000

In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solu... more In this paper we demonstrate the existence, uniqueness and continuous dependence of a strong solution upon the data, for a mixed problem which combine classical boundary conditions and an integral condition, such as the total mass, flux or energy, for a third order parabolic equation. We present a functional analysis method based on an a priori estimate and on the density of the range of the operator generated by the studied problem.

Research paper thumbnail of A Prediction Model of a Lung Tumor Growth and Chemotherapy Treatment: Equilibrium Points and Stability

Journal of Computer Science & Systems Biology, 2020

The purpose of this paper is to study the prediction model of tumor growth non-vascularized lung ... more The purpose of this paper is to study the prediction model of tumor growth non-vascularized lung cancer (first stage of cancer) before and during chemotherapeutic treatment. This model will be represented by a differential equations system, which will describe, among other things, tumor volume and proliferating cells. Finally, all the numerical results presented in this paper have been implemented in Scilab.

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