Papers by Dr Suresh B Dhaigude
Prefunctions and Matrix Integral Equations via Laplace Transform
International Journal of Mathematical Archive, 2013
The purpose of this paper is to study the Integral Equations and Integro-differential Equations a... more The purpose of this paper is to study the Integral Equations and Integro-differential Equations and obtained the Prefunctions are the closed form of solutions using Laplace Transform technique. In the later part considered the matrix integral equations whose solutions leads to extended matrix trigonometric, matrix hyperbolic functions.
Prefunctions and Integral Equations via Laplace Transforms
Introduction It is well known that some basic functions such as polynomial functions, exponential... more Introduction It is well known that some basic functions such as polynomial functions, exponential functions, logarithmic functions and trigonometric functions have played an important role in development of mathematical, physical, biological as well as engineering sciences. .Deo and Howell in their paper [1] introduced an alternative method and studied trigonometric and trigonometric like functions. This new approach is simple and useful in the study of differential equations. Khandeparkar, Deo and Dhaigude [3] have defined new kind of exponential, trigonometric and hyperbolic functions. They are coined as Pre-functions and extended Pre-functions. It is shown that these pre-functions and extended pre-functions satisfy many interesting properties and relations. Some properties and Laplace Transforms of these functions are studied in the papers [2], [3], [4], [5] and solution of initial value problems for non-homogeneous linear ordinary differential equations are obtained. The aim of ...
Advances in inequalities and applications, 2014
The purpose of this paper is to study the Sumudu Transform of Prefunctions and  obtained the  Pre... more The purpose of this paper is to study the Sumudu Transform of Prefunctions and  obtained the  Pretrigonometric,Prehyperbolic and extended Prefunctions are the closed form of solutions of first order, second order and third order nonhomogeneous linear differential equations via Sumudu Transform technique.
Vectorial capacity of Culex gelidus (Theobald) mosquitoes to certain viruses of public health importance in India
Journal of vector borne diseases, 2015
Culex gelidus, a widely prevalent mosquito in India and Southeast Asia region, is an important ve... more Culex gelidus, a widely prevalent mosquito in India and Southeast Asia region, is an important vector of Japanese encephalitis virus (JEV). Experimental studies have shown its potential to transmit West Nile, Kunjin, Murray Valley encephalitis and Ross River viruses. An attempt was therefore made to study its susceptibility and vector competence to some of the arboviruses of public health importance in India. Mosquitoes were infected with six viruses, viz. JEV, chikungunya (CHIKV), Chandipura (CHPV), Chittoor (CHITV), Ingwavuma (INGV) and Umbre (UMBV) by intra thoracic inoculation to determine virus susceptibility and vector competence. Growth kinetics of the viruses were studied by determining the titres of inoculated mosquitoes on different days post-infection by titration in Vero E6 cells. Vector competence was studied by detecting the presence of the viruses in saliva of infected mosquitoes. All the six viruses were replicated in Cx. gelidus. JEV, CHPV, CHIKV and CHITV yielded &...
Replication potential and different modes of transmission of West Nile virus in an Indian strain of Culex gelidus Theobald (Diptera: Culicidae) mosquitoes
Journal of vector borne diseases, 2014
Culex gelidus mosquito, an important vector of Japanese encephalitis virus, has shown to transmit... more Culex gelidus mosquito, an important vector of Japanese encephalitis virus, has shown to transmit West Nile virus (WNV), Kunjin and Murray Valley encephalitis viruses experimentally. An attempt was, therefore, made to study the replication kinetics and vector competence of an Indian strain of Cx. gelidus to WNV. Mosquitoes were infected by both intrathoracic inoculation and oral feeding and studied the growth kinetics by determining the virus titre on different days post-infection (PI). Vector competence was studied by determining the presence of WNV in saliva on subsequent days PI. Horizontal transmission was determined by demonstrating infection in infant mice by bite of mosquitoes that were fed on viraemic mice previously. Vertical transmission was studied by screening progeny derived from infected mosquitoes. Trans-stadial transmission was determined by screening adult mosquitoes emerged from parenterally inoculated IV instar larvae. The mosquito replicated WNV to 7log10 TCID50/...
The purpose of this paper is to study the Sumudu Transform of Prefunctions.It is shown that the... more The purpose of this paper is to study the Sumudu Transform of Prefunctions.It is shown that the Pretrigonometric, Prehyperbolic and extended Prefunctions are the solutions of first order, second order and third order non homogeneous linear differential equations by applying Sumudu Transform technique.
Keywords: Initial Value Problems, Prefunctions and Sumudu Transform.
2010 AMS Subject Classification: 34B18.
The purpose of this paper is to study the system of Linear Differential Equations of first order,... more The purpose of this paper is to study the system of Linear Differential Equations of first order, Second order and Third order in two variables as well as in three variables and obtained the set of Pre-functions and extended prefunctions are the closed form of solutions via Laplace Transforms technique.
Keywords. : Pre-functions, Extended prefunctions, Initial Value Problems and Laplace Transforms
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Papers by Dr Suresh B Dhaigude
Keywords: Initial Value Problems, Prefunctions and Sumudu Transform.
2010 AMS Subject Classification: 34B18.
Keywords. : Pre-functions, Extended prefunctions, Initial Value Problems and Laplace Transforms
Keywords: Initial Value Problems, Prefunctions and Sumudu Transform.
2010 AMS Subject Classification: 34B18.
Keywords. : Pre-functions, Extended prefunctions, Initial Value Problems and Laplace Transforms