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NON-CONVEX RANDOM DIFFERENTIAL INCLUSION
Dilip Sambhajirao Palimkar
Journal of Global Research in Mathematical Archives , 2013,
Abstract: In this paper, I prove the existence of random solution for the first order initial value problem of non-convex random differential inclusion through random fixed point theory.
EXISTENCE OF SOLUTION FOR THIRD ORDER RANDOM DIFFERENTIAL INCLUSION
D. S. Palimkar
Journal of Global Research in Mathematical Archives , 2013,
Abstract: In this paper, I prove the existence of solution for the third order initial value problem of random differential inclusion through random fixed point theory. Keywords: Random differential inclusion, random solution, Carathe’odory condition. AMS Mathematics Subject Classifications: 60H25, 47H10.
Prevalence and distribution of glaucoma in central India (Glaucoma Survey - 2001)
Palimkar Anand,Khandekar Rajiv,Venkataraman V
Indian Journal of Ophthalmology , 2008,
Abstract: Purpose: A community-based survey was conducted in Rajnandangaon district of Chhattisgarh state of central India in 2001 to assess the prevalence of glaucoma in the age group of =35 years. Design: Community-based cross-sectional survey Materials and Methods: Ophthalmologists measured ocular pressure using Perkins applanation tonometer. Best corrected visual acuity was checked by ETDRS chart. After dilating the pupil the fundus was examined. A sketch diagram was drawn to note glaucomatous changes in optic disc and the surrounding retina. The field of vision was tested on Bjerrum screen. Gonioscopy was performed to determine type of glaucoma. Persons and their relatives were interviewed to find out risk factors and glaucoma treatment in the past. Results: Seven thousand four hundred and thirty-eight (87.3%) persons were examined. The age-sex standardized prevalence of glaucoma was 3.68% (95% CI 3.27 to 4.07). Gender variation of glaucoma was not significant. [OR = 1.13 (CI 95% 0.88 to 1.44)] Glaucoma varied significantly by age groups. (χ2 = 48.2, degree of freedom = 3 P < 0.001) Among those patients diagnosed to suffer from glaucoma, the proportion of open angle, closed angle, secondary glaucoma, ocular hypertension and glaucoma suspects was 13.1%, 21.2%, 21.2%, 14.5% and 30% respectively. Different types of visual disabilities were associated with glaucoma. However, unilateral blindness in glaucoma was unusual. Twenty-five per cent of the glaucoma cases were detected for the first time during the survey. Conclusions: The prevalence of glaucoma was high and the angle closure type was more compared to the open angle glaucoma.
Sniffer Technique for Numerical Solution of Korteweg-de Vries Equation Using Genetic Algorithm  [PDF]
Dilip P. Ahalpara
Journal of Applied Mathematics and Physics (JAMP) , 2015, DOI: 10.4236/jamp.2015.37100
Abstract:

A novel heuristic technique has been developed for solving Ordinary Differential Equation (ODE) numerically under the framework of Genetic Algorithm (GA). The method incorporates a sniffer procedure that helps carry out a memetic search within the solution domain in the vicinity of the currently found best chromosome. The technique has been successfully applied to the Korteweg- de Vries (KdV) equation, a well-known nonlinear Partial Differential Equation (PDE). In the present study we consider its solution in the regime of solitary waves, or solitons that is first used to convert the PDE into an ODE. It is then shown that using the sniffer technique assisted GA procedure, numerical solution has successfully been generated quite efficiently for the one-dimensional ODE version of the KdV equation in space variable (x). The technique is quite promising for its applications to systems involving ODE equations where analytical solutions are not directly available.

The learning effects of brands: Determined through Markovian analysis of brand switching
Dilip Roy,Dilip Roy
Journal of Management Research , 2009, DOI: 10.5296/jmr.v1i2.42
Abstract: It is the learning effect that gives rise to brand loyalty for a repeat purchase product and is an important consideration in today’s competitive market. This paper aims at determining the learning effects of brands using Markovian analysis. The Markovian study of market stability involves construction of two transition probability matrices from the loss-gain matrix depicting the brand switching behavior of the customers in the forward and backward directions and the projection of those matrices over time. From the market stability in the forward and backward directions the learning effects, expressed in terms of acceptance line and rejection line, have been analytically obtained. For demonstration purpose, a set of information, available in the literature, on brand switching in the Indian oral care market has been used and learning effects have been empirically determined along with a discussion on managerial implications of the same. Since we have presented a generic approach it can be applied for any product field of any country subject to constraint that Markovian stability should be there in both forward and backward directions.
Particle Swarm Optimization Algorithm vs Genetic Algorithm to Develop Integrated Scheme for Obtaining Optimal Mechanical Structure and Adaptive Controller of a Robot  [PDF]
Rega Rajendra, Dilip K. Pratihar
Intelligent Control and Automation (ICA) , 2011, DOI: 10.4236/ica.2011.24050
Abstract: The performances of Particle Swarm Optimization and Genetic Algorithm have been compared to develop a methodology for concurrent and integrated design of mechanical structure and controller of a 2-dof robotic manipulator solving tracking problems. The proposed design scheme optimizes various parameters belonging to different domains (that is, link geometry, mass distribution, moment of inertia, control gains) concurrently to design manipulator, which can track some given paths accurately with a minimum power consumption. The main strength of this study lies with the design of an integrated scheme to solve the above problem. Both real-coded Genetic Algorithm and Particle Swarm Optimization are used to solve this complex optimization problem. Four approaches have been developed and their performances are compared. Particle Swarm Optimization is found to perform better than the Genetic Algorithm, as the former carries out both global and local searches simultaneously, whereas the latter concentrates mainly on the global search. Controllers with adaptive gain values have shown better performance compared to the conventional ones, as expected.
Hydro-Geophysical Investigation of Contaminant Distribution at a Closed Landfill in Southwestern Ontario, Canada  [PDF]
Jianwen Yang, Siddharth Dilip Joshi
Journal of Geoscience and Environment Protection (GEP) , 2014, DOI: 10.4236/gep.2014.23002
Abstract:

This paper presents a hydro-geophysical investigation into the landfill leachate distribution and subsurface geology at a closed site in southwestern Ontario, Canada, using geophysical mapping and hydrological modeling approaches. Conductivity mapping was first conducted over the study site using a frequency-domain EM terrain conductivity meter, revealing an anomalous high-con- ductivity zone of about 200 m (S-N) × 80 m (W-E) at the western half of the site. The DC resistivity survey was then carried out at this anomalous zone with eight S-N profiles and three W-E profiles measuring 200m in length using a Wenner-α configuration. Our resistivity survey results indicate that the landfill leachate travels mainly south-east wards over the upper aquifer, with a minor vertical component into the upper weathered portion of the silt/sand aquitard at some locations. No contamination seems to exist in the lower sand aquifer. The geophysical results were later used to develop two conceptualized models for hydrological modeling. Our numerical results predict the leachate distribution at the study site in the future, confirming that the contaminant will occupy the entire upper aquifer and the most of the aquitard in a time of 1000 years, and that the barrier of the aquitard will protect the lower sand aquifer from the leachate pollution. These findings are critical in evaluating the current leachate conditions and the existing compliance monitoring plan for potential implementation at this study site and other sites in elsewhere.

India s Outward Foreign Direct Investment
Dilip Saikia
International Business Management , 2012, DOI: 10.3923/ibm.2012.55.59
Abstract: India has been continually attracting massive Foreign Direct Investment (FDI), since the opening up of its economy with a series of liberalization policies in the early 1990 s. This inward FDI plays an important role in the Indian economy as a financier of her balance of payment. However in recent years, India has been fast emerging as an exporter of large volume of FDI. An increasing number of Indian firms are resorting to outward investment in order to access new technologies, skills, managerial expertise, etc., from the developed countries. This is a bit of an anomaly. What explains this boom in outward FDI from India? What have been the motivations to invest abroad? What could be its economic implications? These are the questions that generally come into mind. A large number of strategic factors and motivations along with a series of policies liberalization and financial deregulation those are undertaken since the early 1990's are supposed to be the driving forces for this outflow of FDI from India. The present study tries to address some of these issues.
Scan
Sahay Dilip
IETE Technical Review , 2008,
Abstract:
Scan
Sahay Dilip
IETE Technical Review , 2007,
Abstract:
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