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Lokenath Debnath, Ph.D. Professor and Department Chair |
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Education: • Ph.D. in Applied Mathematics, University of London, England, 1967. • Ph.D. in Pure Mathematics, University of Calcutta, India 1965.
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Research Interest: Applied Mathematics, Applied Partial Differential Equations, Integral Transforms, Fluid Dynamics, Continuum Mechanics, Nonlinear Waves, and Wave Motions in Fluids and Solids |
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| Recent Selected Publications: |
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A New Generalization of Aczel's inequality and its applications to an improvement of Bellman's inequality (with Shanhe Wu), Applied Mathematics Letters, 21:6 (2008) 588-593. |
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Symmetric Anti-eigenvalue and Symmetric Anti-eigenvector (with Sk.M.Hossein, K. Paul and K.C. Das), Journal of Mathematical Analysis & Applications, 345 (2008) 771-776. |
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On Linear and Nonlinear Rossby Waves in an Ocean, Journal of Mathematical Analysis and Applications, 333 (2007) 164-190. |
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On Hilbert's Type Inequalities on the Weighted Orlicz Spaces (with Kuang Jichang) Pacific Journal of Applied Mathematics, 1:1 (2007) 95-103 |
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Some properties of Mittag-Lefler Functions (with Indranil Sen Gupta) Integral Transforms and Special Functions, 18:5 (2007) 329-336. |
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Nonlinear Partial Differential Equations for Scientists and Engineers (Second Edition) Birkhauser Verlag, Boston, 2003, 700 pages. |
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Wavelet Transforms and Their Applications, Birkhauser Boston, 2001. |
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| E-mail: debnathl@utpa.edu |
| Phone: (956) 381-3459 |
| Office: MAGC 3.202C |
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| Home Page |