2330 Words10 Pages

Review of Multidimensional Laplace Transform and its Related Theorem

1. M. V. Dekate, 2. S.S. Adsad 3. J.R. Sontakke, 4. A.A. Lakha

1.2.3.Department of Mathematics 4Department of Mathematics

Datta Meghe Institute of Engineering Technology And Research (Wardha) M.S. Dr. Baba Saheb Ambedkar College of Engineering And Research (Nagpur) M.S. monadekate0013@rediffmail.com sunetra_sadsad@rediffmail.com jahnavis_13@rediffmail.com archanaalakha@gmail.com Abstract –Ordinary and partial differential equations describe the way certain quantities vary with time, such as the current in an electrical circuit, the oscillations of a vibrating membrane, or the flow of heat through an insulated conductor. These equations*…show more content…*

The Object of this paper is to explain general theory of Multidimensional Laplace Transform and its related theorem with Derivation. Examples are presented for each*…show more content…*

Examples are presented for each theorem.

Index Terms- Laplace transform, Multidimensional Laplace transform, Partial differential equation.

Introduction

In 1990 [7] R.S. Dahiya and Vinayagomorthy Prove many new theorem and corollaries for solving Laplace transform of multidimensional . They also discuss boundary value Problems of telegraph equation and heat equation and many other example

.

Later in 1999 R.S. Dahiya proved certain involving the classical L.T. of N Variable and in the second Part solving non homogeneous linear differential equation of second order by multidimensional Laplace transform.

.

In 1992 [6] J. Saberio Najaji and R.S. Dahiya established several new theorem for calculating Laplace Transform of n dimensional and in the second part, application of those theorem to be used special function was considered , and finally, one dimensional wave equation involving special function was solved by using two dimensional Laplace transform

Recently [2][3][4] (2004,2006,2008) author, established new theorem and collieries involving system of two dimensional L.T. contain several

1. M. V. Dekate, 2. S.S. Adsad 3. J.R. Sontakke, 4. A.A. Lakha

1.2.3.Department of Mathematics 4Department of Mathematics

Datta Meghe Institute of Engineering Technology And Research (Wardha) M.S. Dr. Baba Saheb Ambedkar College of Engineering And Research (Nagpur) M.S. monadekate0013@rediffmail.com sunetra_sadsad@rediffmail.com jahnavis_13@rediffmail.com archanaalakha@gmail.com Abstract –Ordinary and partial differential equations describe the way certain quantities vary with time, such as the current in an electrical circuit, the oscillations of a vibrating membrane, or the flow of heat through an insulated conductor. These equations

The Object of this paper is to explain general theory of Multidimensional Laplace Transform and its related theorem with Derivation. Examples are presented for each

Examples are presented for each theorem.

Index Terms- Laplace transform, Multidimensional Laplace transform, Partial differential equation.

Introduction

In 1990 [7] R.S. Dahiya and Vinayagomorthy Prove many new theorem and corollaries for solving Laplace transform of multidimensional . They also discuss boundary value Problems of telegraph equation and heat equation and many other example

.

Later in 1999 R.S. Dahiya proved certain involving the classical L.T. of N Variable and in the second Part solving non homogeneous linear differential equation of second order by multidimensional Laplace transform.

.

In 1992 [6] J. Saberio Najaji and R.S. Dahiya established several new theorem for calculating Laplace Transform of n dimensional and in the second part, application of those theorem to be used special function was considered , and finally, one dimensional wave equation involving special function was solved by using two dimensional Laplace transform

Recently [2][3][4] (2004,2006,2008) author, established new theorem and collieries involving system of two dimensional L.T. contain several

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