Research Publications Book Publications Synopsis, Seminars, Invited Talks

Research Publications

  1. A note on Divergence Like 2-Point Boundary Value Problems, Proc. Am.Math. Soc. Vol. 42(2), (1974)
  2. Existence Theorems for Generalized Hammerstein Type Equations, Comment.Math. Univ. Carolinae, Vol. 15(2).
  3. Existence Theorems for Urysohns Integral Equation Proc. Am. Math. Soc.Vol. 42(2), (1975)
  4. Existence Theorems for a Variant of Hammersteins Integral Equations,Comment. Math. Univ. Carolinae, Vol. 16(2), (1975).
  5. An Existence Theorem for an Integro-Differential Equation, Jour. Math.Anal. & Appl., Vol. 62(1), (1978) .
  6. On a Class of Nonlinear Integral Equations (Jointly with P.N.Srikanth), Proc. Ind. Acad. Sci., Vol. 87A, (1978).
  7. Existence Theorems for Equations of Generalized Hammerstein Type, (Jointly with P.N.Srikanth), Proc. Am. Math. Soc. Vol. 78(3), (1980)
  8. Measurability of Inverse of Random Operators and Existence Theorem, Proc. Ind. Acad. Sci., Vol. 89(2), (1980).
  9. Nonlinear Random Equations with P-compact Operators in Banach Spaces, Proc. Ind. Acad. Sci., Vol. 89(2), (1980).
  10. On the Existence of Optimal Control, Bull. Austr. Math. Soc., Vol. 27 (1983).
  11. An Approximate Solvability Scheme for a Class of Nonlinear Equations, Proc. Ind. Acad. Sci., Vol. 92, No.1 (1983).
  12. Solvability of Generalized Hammerstein Equations, Proc. Ind. Acad. Sci., Vol. 92, No. 2 (1983).
  13. Nonlinear Random Equations Involving Operators of type (M), Jour. Math. Anal. & Appl, Vol. 94, No. 2 (1983) .
  14. Theory of Monotone Operators and Random Operators Equations, Proc. Inter Symp. on Modern Analysis and Its Applications. IIT Delhi, Dec. 21-24 1983, Prentice Hall of India, (1986).
  15. Weak Compactness of Solution Measures of Nonlinear Approximate Random Operator Equations, Stochastic Anal, Appl. 5(2), (1987).
  16. Nonlinear Random Equations Involving Completely Closed Operators, Proc. Ind. Acad. Sci., Vol. 96, (1987).
  17. Approximate Solvability of Hammerstein Equations, (jointly with M. Ganesh), Numer. Func. Anal. and Optimization, Vol. 9, (9 & 10), (1987).
  18. Controllability of Nonlinear Systems, (jointly with M. Ganesh), Numer. Func. Anal. And Optimization, Vol. 10, (1 & 2), (1989).
  19. A General Mathematical Model for Systems Analysis Proceedings of the International Conference on Mathematical Modeling in Science & Technology, IIT Madras, 1988, Ed. N.V.C. Swamy, P. Achutan, S.N. Majhi, Tata McGraw Hill (1988).
  20. Stochastic Global Stability of a Random Feed Back System (Jointly with T.E. Govindan), Stochastic Analysis and Applications, 7(2), (1989).
  21. Discrete Numerical Solvability of Hammerstien Integral Equations of Mixed Type (jointly with M. Ganesh), Jour. Integ. Eqns. and Appl. 2 (1989).
  22. Approximate Solvability of Semilinear Operator Equations (Jointly with N. Sukavanam), Nonlinearity 3 (1990).
  23. Abstract Semilinear Controllability and its Applications to Finite and Infinite Dimensional Control Problems, Intl. Conf. On "Differential Equations Theory and Applications in Stability and Control", University of Colorado (1989), Ed. Saber Elyadi, Marcel Dekker, (1991).
  24. Local Stability Properties of a Feed-Back System - Deterministic and Random, Stochastic Analysis and Applications, Vol. 8, No. 4, (1990).
  25. Numerical Solvability of Hammerstien Integral Equations of Mixed Type (jointly with M. Ganesh), IMA Journal of Numerical Analysis, Vol. 11 (1991).
  26. Controllability of Predictor-Prey Systems (Jointly with Raaju K. George), Jour. Opt. Theory and Appl., Vol 74(2), 1992.
  27. Optimality of Nonlinear Control System, (jointly with M. Ganesh), Jour. Of Nonlinear Anlysis - Theory, Methods & Applications, Vol. 16 (1991).
  28. Stability and Optimal Control of Stochastic Functional Differential Equations with Memory, Numer. Funct. Anal. and Optimiz., 13(3&4), (1992).
  29. Approximate Solvability of Nonlinear Equations and Related Results in Control Theory , proceedings of World Congress of Nonlinear Analysts, Walter de Gruyter, 1996.
  30. On A Control Problem Involving Attractor Of A Dynamical System, Numer. Funct. Anal. and Optimiz., 17(5&6), (1996).
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Book Publications

  1. METHODS OF MATHEMATICAL PHYSICS, (Jointly with R.K. Bose) Tata Mc-Graw-Hill Publ. Co., Delhi (1984)
  2. SOME TOPICS IN NONLINEAR FUNCTIONAL ANALYSIS, (Jointly with R.K. Bose),Wiely Eastern Ltd., Delhi (1985)
  3. COMPUTER ORIENTED APPROACH TOWARDS CALCULUS, Lecture Notes, IIT Bombay,1986
  4. MATHEMATICAL THEORY OF CONTROL, Proceedings of the International conference held at IIT, Bombay, Dec. 10-15, 1990. Ed. M.C. Joshi and A.V. Balakrishnan,Marcel-Dekker, 1992
  5. WORKSHOP ON INDUSTRIAL MATHEMATICS, Proceedings of the Workshop held at University of Baroda, July 6-9, 1993.

    6. ENGINEERING OPTIMIZATION, Lecture notes, Proceedings of the workshop held at IIT Bombay, 1994, 1995, 1996
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Synopsis, Seminars, Invited Talks

  1. Seminar on Analysis : Advance Centre in Mathematics, Punjab University,September 1976.

    2. Talk entitled Monotone Operator Theory and its Applications.
  2. Seminar on Functional Analysis : Delhi University, April 1979.

    3. Talk entitled Theory of Monotone Operators and Applications.
  3. Seminar on Operator Theory, Sarder Patel University, Vidyanagar, April 1979.

    4. Talk entitled Monotone Operators and Nonlinear Analysis.
  4. Special Session on Functional Analysis : Annual Indian Math. Society Conference, Ranchi, December 1979.

    5. Invited talk entitled Stability Analysis of Nonlinear Systems.
  5. U.G.C. Visiting Fellow, Saurashtra University, Rajkot. February 1981.

    6. Series of talks on Nonlinear Functional Analysis with Applications to Differential Equations.
  6. Mehta Research Institute, Allahabad, March 1981

    7. Invited talk entitled Theory of Monotone Operators Stability Analysis
  7. International Conference on Recent Advances in Nonlinear Analysis and Differential Equations, IIT Madras, December 1981.
    Talk entitled Galerkins Approximation Sceme for a Class of Nonlinear Integral Equations
  8. Indian Institute of Technology, Kanpur, February 1982.
    Invited talk entitled Monotone Operators and its Application to Differential and Integral Equations,
  9. International Symposium on Modern Analysis and its Applications, IIT Delhi, December 1983
    Invited talk entitled Theory of Monotone Operators and Random Operator Equations.
  10. International Symposium on Methods of Functional Analysis in Approximation Theory, IIT Bombay,1985.
    Invited talk on Weak Compactness of Solution Measures of Nonlinear Approximate Random Operator Equations
  11. Invited talks on Systems Analysis at Marathwada University, March 1986.
  12. International Symposium on Nonlinear Analysis and Application to Biomathematics,Andhra University, Waltair, August 1987.
    Invited talks on Controllability of Predator-Prey Systems.
  13. International Conference on Mathematical Modeling in Science and Technology, IIT Madras, 1988.
    Invited talk on A General Mathematical Model for Systems Analysis.
  14. International Conference on Dynamical Systems, Control Theory and Applications at Wright State University, Ohio, 1989.
    Invited talk on On Optimal Control Problems Described by Nonlinear Operator Equations.
  15. International Conference on Differential Equations : Theory and Applications in Stability and Control, University of Colorado, 1989.
    Invited talk on Abstract Semilinear Controllability and its Applications to finite and Infinite Dimensional Control Problems.
  16. World Congress of Nonlinear Analysis, Tampa, Florida, August 19-26, 1992.
    Invited talk on Approximate Solvability of Nonlinear Equations and Related Results in Control theory
  17. Indo-French Workshop on Partial Differential Equations and Nonlinear Analysis, June 28-July 2, 1994.

    18. Invited talk on Controllability of Nonlinear Systems.
  18. World Congress of Nonlinear Analysts, University of Catonia, Italy, July 19 - 26, 2000
    Invited talk on Doing Industrial Mathematics via Optimization, DAE, CAGD and Market Forcasting.
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