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## Debnath, Lokenath

Compute Distance To:
 Author ID: debnath.lokenath Published as: Debnath, Lokenath; Debnath, L.; Debnath, Lokeneth; Depnath, Lokenath Homepage: http://faculty.utpa.edu/debnathl/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 430 Publications since 1959, including 30 Books Reviewing Activity: 177 Reviews
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all top 5

#### Serials

 63 International Journal of Mathematics and Mathematical Sciences 31 Applied Mathematics Letters 25 Journal of Mathematical Analysis and Applications 21 International Journal of Mathematical Education in Science and Technology 17 Computers & Mathematics with Applications 14 Acta Mechanica 14 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 13 Indian Journal of Pure & Applied Mathematics 12 Integral Transforms and Special Functions 9 Bulletin of the Calcutta Mathematical Society 9 International Journal of Applied and Computational Mathematics 8 International Journal of Non-Linear Mechanics 7 Journal of Applied Mathematics and Computing 6 Tensor. New Series 6 Journal of Applied Mathematics and Stochastic Analysis 6 Analysis (München) 6 International Journal of Pure and Applied Mathematics 5 International Journal of Engineering Science 5 Applied Mathematics and Computation 5 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques 4 Journal of Pure Mathematics 4 Fractional Calculus & Applied Analysis 4 Advanced Studies in Contemporary Mathematics (Kyungshang) 3 Journal of Mathematical and Physical Sciences 3 Physics of Fluids 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Applied Mathematics and Simulation 3 Mathematical and Computer Modelling 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 International Journal of Applied Mathematics 3 Proceedings of the National Institute of Sciences of India, Part A 3 Studia Universitatis Babeș-Bolyai. Series Mathematica, Physica 2 Analysis Mathematica 2 Applied Scientific Research 2 Archives of Mechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indian Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 Le Matematiche 2 Meccanica 2 Proceedings of the Indian National Science Academy. Part A. Physical Sciences 2 Revue Roumaine des Sciences Techniques. Série de Mécanique Appliquée 2 Review Bulletin of the Calcutta Mathematical Society 2 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 2 Matematichki Vesnik. New Series 2 Surveys in Mathematics and its Applications 2 Pacific Journal of Applied Mathematics 2 Analysis and Mathematical Physics 2 Applied and Numerical Harmonic Analysis 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 Journal of Applied Mechanics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 The Journal of the Indian Mathematical Society. New Series 1 Mathematica Japonica 1 Proceedings of the National Academy of Sciences, India. Section A 1 Results in Mathematics 1 Rivista di Matematica della Università di Parma. Serie IV 1 Radovi Matematički 1 Facta Universitatis. Series Mathematics and Informatics 1 Progress of Mathematics (Varanasi) 1 International Journal of Computer Mathematics 1 The Canadian Applied Mathematics Quarterly 1 International Journal of Mathematical and Statistical Sciences 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Tamsui Oxford Journal of Mathematical Sciences 1 Far East Journal of Applied Mathematics 1 Journal of Interdisciplinary Mathematics 1 The Korean Journal of Computational & Applied Mathematics 1 Proceedings of the Jangjeon Mathematical Society 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Gaceta Matemática 1 International Journal of Contemporary Mathematical Sciences 1 Bulletin of Pure and Applied Mathematics 1 Mathematics 1 Compact Textbooks in Mathematics
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#### Fields

 142 Fluid mechanics (76-XX) 74 Real functions (26-XX) 61 Partial differential equations (35-XX) 49 Mechanics of deformable solids (74-XX) 32 Operator theory (47-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 28 History and biography (01-XX) 28 Ordinary differential equations (34-XX) 27 Integral transforms, operational calculus (44-XX) 26 Functional analysis (46-XX) 16 Special functions (33-XX) 16 Numerical analysis (65-XX) 13 General and overarching topics; collections (00-XX) 11 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Geophysics (86-XX) 7 General topology (54-XX) 7 Mathematics education (97-XX) 5 Quantum theory (81-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Sequences, series, summability (40-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

258 Publications have been cited 2,018 times in 1,633 Documents Cited by Year
Recent applications of fractional calculus to science and engineering. Zbl 1036.26004
Debnath, Lokenath
2003
Nonlinear partial differential equations for scientists and engineers. Zbl 0892.35001
Debnath, Lokenath
1997
Integral transforms and their applications. Zbl 0920.44001
Debnath, Lokenath
1995
Nonlinear water waves. Zbl 0793.76001
Debnath, Lokenath
1994
Integral transforms and their applications. 2nd ed. Zbl 1113.44001
Debnath, Lokenath; Bhatta, Dambaru
2006
Wavelet transforms and their applications. Zbl 1019.94003
Debnath, Lokenath
2002
Integral transforms and their applications. 3rd revised and updated ed. Zbl 1310.44001
Debnath, Lokenath; Bhatta, Dambaru
2015
Convergence of Ishikawa iterates of quasi-nonexpansive mappings. Zbl 0881.47036
Ghosh, M. K.; Debnath, Lokenath
1997
Wavelet transforms and their applications. 2nd ed. Zbl 1308.42030
2015
Nonlinear partial differential equations for scientists and engineers. 3rd revised ed. Zbl 1242.35001
Debnath, Lokenath
2012
A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality. Zbl 1132.26334
Wu, Shanhe; Debnath, Lokenath
2006
Partial differential equations for scientists and engineers. 3rd ed. Zbl 0644.35001
Myint-U, Tyn; Debnath, Lokenath
1987
Nonlinear partial differential equations for scientists and engineers. 2nd ed. Zbl 1069.35001
Debnath, Lokenath
2005
New strengthened Jordan’s inequality and its applications. Zbl 1041.26005
Debnath, L.; Zhao, Chang-Jian
2003
Linear partial differential equations for scientists and engineers. 4th ed. Zbl 1104.35001
Myint-U, Tyn; Debnath, Lokenath
2007
Fractional integral and fractional differential equations in fluid mechanics. Zbl 1076.35095
Debnath, Lokenath
2003
On unsteady magnetohydrodynamic boundary layers in a rotating flow. Zbl 0257.76098
Debnath, L.
1972
Introduction to Hilbert spaces with applications. 2nd ed. Zbl 0940.46001
Debnath, Lokenath; Mikusiński, Piotr
1999
Solutions to few linear fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1076.35096
Debnath, Lokenath; Bhatta, Dambaru D.
2004
On Hilbert’s type inequalities on the weighted Orlicz spaces. Zbl 1158.26008
Kuang, Jichang; Debnath, Lokenath
2007
Some inequalities involving the constant $$e$$, and an application to Carleman’s inequality. Zbl 0910.26011
Yang, Bicheng; Debnath, Lokenath
1998
A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality. II. Zbl 1162.26310
Wu, Shanhe; Debnath, Lokenath
2007
On a Hilbert-type linear series operator and its applications. Zbl 1205.47011
Jin, Jianjun; Debnath, Lokenath
2010
Magneto-thermo-elastic plane waves in rotating media. Zbl 0501.73011
Chaudhuri, S. K. Roy; Debnath, Lokenath
1983
A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems. Zbl 1055.34047
Hao, Zhaocai; Liu, Lishan; Debnath, L.
2003
On the extended Hardy-Hilbert’s inequality. Zbl 1009.26016
Yang, Bicheng; Debnath, Lokenath
2002
On new generalizations of Hilbert’s inequality and their applications. Zbl 0968.26010
Kuang, Jichang; Debnath, Lokenath
2000
Continuum mechanics. Zbl 0798.73001
Chandrasekharaiah, D. S.; Debnath, Lokenath
1994
Generalizations of Aczél’s inequality and Popoviciu’s inequality. Zbl 1083.26019
Wu, Shanhe; Debnath, Lokenath
2005
Introduction to Hilbert spaces with applications. Zbl 0715.46009
Debnath, Lokenath; Mikusiński, Piotr
1990
Jordan-type inequalities for differentiable functions and their applications. Zbl 1168.26319
Wu, Shanhe; Debnath, Lokenath
2008
Tight wavelet frames on local fields. Zbl 1277.42047
Shah, F. A.; Debnath, Lokenath
2013
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
2003
Some new inverse type Hilbert integral inequalities. Zbl 0988.26014
Zhao, Chang-Jian; Debnath, Lokenath
2001
Half-discrete Hilbert-type inequalities. Zbl 1296.26007
Yang, Bicheng; Debnath, Lokenath
2014
Some refined families of Jordan-type inequalities and their applications. Zbl 1147.26017
Wu, Shan-He; Srivastava, H. M.; Debnath, Lokenath
2008
Generalizations of Euler numbers and polynomials. Zbl 1038.11014
Luo, Qiu-Ming; Qi, Feng; Debnath, Lokenath
2003
The ultimate approach to the steady state in the generation of waves on a running stream. Zbl 0181.56203
Debnath, L.; Rosenblat, S.
1969
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
2015
A generalization of L’Hospital-type rules for monotonicity and its application. (A generalization of L’Hôspital-type rules for monotonicity and its application.) Zbl 1163.26312
Wu, Shanhe; Debnath, Lokenath
2009
On a new generalization of Hardy-Hilbert’s inequality and its applications. Zbl 0935.26009
Yang, Bicheng; Debnath, Lokenath
1999
A study of magneto-thermoelastic problems with thermal relaxation and heat sources in a three-dimensional infinite rotating elastic medium. Zbl 1211.74059
Baksi, Arup; Bera, Rasajit Kumar; Debnath, Lokenath
2005
On certain inequalities involving the constant $$e$$ and their applications. Zbl 0965.26007
Sándor, József; Debnath, Lokenath
2000
On new generalizations of Hardy’s integral inequality. Zbl 0893.26008
Yang, Bicheng; Zeng, Zhuohua; Debnath, Lokenath
1998
Recent developments of Hilbert-type discrete and integral inequalities with applications. Zbl 1255.26009
Debnath, Lokenath; Yang, Bicheng
2012
Sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions. Zbl 1045.49009
Liu, Z.; Debnath, L.; Kang, S. M.; Ume, J. S.
2003
$$p$$-wavelet frame packets on a half-line using the Walsh-Fourier transform. Zbl 1238.42014
Shah, F. A.; Debnath, Lokenath
2011
Tempered distributional Fourier sine (cosine) transform. Zbl 1131.42003
Banerji, P. K.; Al-Omari, S. K.; Debnath, Lokenath
2006
On Hankel type integral transformations of generalized functions. Zbl 1073.46034
Malgonde, S. P.; Debnath, Lokenath
2004
Partial differential equations with piecewise constant delay. Zbl 0745.35002
Wiener, Joseph; Debnath, Lokenath
1991
Inequalities for convex sequences and their applications. Zbl 1144.26016
Wu, Shanhe; Debnath, Lokenath
2007
On continuous Bessel wavelet transformation associated with the Hankel-Hausdorff operator. Zbl 1250.46029
2012
A new generalization of Aczél’s inequality and its applications to an improvement of Bellman’s inequality. Zbl 1134.26310
Wu, Shanhe; Debnath, Lokenath
2008
Oscillations of second-order nonlinear ordinary differential equations with impulses. Zbl 0944.34026
Luo, Jiaowan; Debnath, Lokenath
1999
Magnetoelastic plane waves in infinite rotating media. Zbl 0554.73090
Choudhuri, S. K. Roy; Debnath, L.
1983
On transient development of surface waves. Zbl 0177.56505
Debnath, L.
1968
Unsteady multiple boundary layers on a plate in a rotating system. Zbl 0271.76034
Debnath, Lokenath; Mukherjee, Sukla
1973
Some improvements on Hilbert’s integral inequality. Zbl 0920.26018
Gao, Mingzhe; Tan, Li; Debnath, Lokenath
1999
Asymptotic behavior of $$M$$-band scaling functions of Daubechies type. Zbl 1055.42505
Bi, N.; Debnath, L.; Sun, Q.
1998
Dyadic wavelet frames on a half-line using the Walsh-Fourier transform. Zbl 1263.42014
Shah, F. A.; Debnath, Lokenath
2011
A survey of partial differential equations with piecewise continuous arguments. Zbl 0821.35140
Wiener, Joseph; Debnath, Lokenath
1995
Oscillations of solutions of neutral differential equations with positive and negative coefficients. Zbl 1005.34056
Shen, J. H.; Debnath, L.
2001
Boundary value problems for the diffusion equation with piecewise continuous time delay. Zbl 0879.35065
Wiener, Joseph; Debnath, Lokenath
1997
Hydromagnetic Stokes flow in a rotating fluid with suspended small particles. Zbl 0603.76112
Ghosh, A. K.; Debnath, Lokenath
1986
A wave equation with discontinuous time delay. Zbl 0766.35024
Wiener, Joseph; Debnath, Lokenath
1992
Magneto-thermo-elastic disturbances with thermal rlaxation in a solid due to heat sources. Zbl 0648.73046
Chandrasekharaiah, D. S.; Srinath, K. S.; Debnath, L.
1988
Positive periodic solutions of a delayed model in population. Zbl 1058.34088
Zhao, Chang-Jian; Debnath, L.; Wang, Ke
2003
A short history of the Fibonacci and golden numbers with their applications. Zbl 1273.97003
Debnath, Lokenath
2011
Some properties of the Mittag-Leffler functions. Zbl 1118.33011
Gupta, Indranil Sen; Debnath, Lokenath
2007
Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem. Zbl 1155.34312
Liu, Zeqing; Debnath, Lokenath; Kang, Shin Min
2008
Generalizations of Hardy’s integral inequalities. Zbl 0971.26012
Yang, Bicheng; Debnath, Lokenath
1999
On new strengthened Hardy-Hilbert’s inequality. Zbl 0897.26008
Yang, Bicheng; Debnath, Lokenath
1998
Elements of the theory of elliptic and associated functions with applications. Zbl 0134.06202
Dutta, M.; Debnath, L.
1965
On unsteady hydromagnetic flows of a dusty viscous fluid between two oscillating plates. Zbl 0675.76119
Debnath, Lokenath; Ghosh, A. K.
1989
A new proof of monotonicity for extended mean values. Zbl 0935.26015
Qi, Feng; Xu, Sen-Lin; Debnath, Lokenath
1999
Quasi $$\beta$$-power increasing sequences. Zbl 1063.40006
Bor, H.; Debnath, L.
2004
Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelasticity. Zbl 1211.74058
Baksi, Arup; Bera, Rasajit Kumar; Debnath, L.
2004
On the existence of positive solutions for singular boundary value problems on the half-line. Zbl 1185.34031
Sun, Yan; Sun, Yongping; Debnath, Lokenath
2009
Wilker-type inequalities for hyperbolic functions. Zbl 1242.26017
Wu, Shanhe; Debnath, Lokenath
2012
A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems. Zbl 1095.34013
Xu, Yumei; Li, Lishan; Debnath, Lokenath
2005
The double Laplace transforms and their properties with applications to functional, integral and partial differential equations. Zbl 1420.44002
Debnath, Lokenath
2016
The hydromagnetic flow of a dusty viscoelastic fluid between two infinite parallel plates. Zbl 0978.76010
Ghosh, N. C.; Ghosh, B. C.; Debnath, L.
2000
The existence theorems of the random solutions for random Hammerstein type nonlinear integral equations. Zbl 0957.45022
Li, Guozhen; Debnath, L.
2000
On eigenvalue intervals and eigenfunctions of fourth-order singular boundary value problems. Zbl 1074.34079
Hao, Zhao-Cai; Debnath, Lokenath
2005
Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings. Zbl 1044.65057
Liu, Z.; Debnath, L.; Kang, S. M.; Ume, J. S.
2004
Oscillation of second order quasilinear delay differential equations with impulses. Zbl 1055.34126
Luo, Weidong; Luo, Jiaowan; Debnath, Lokenath
2003
On Ekman and Hartmann boundary layers in a rotating fluid. Zbl 0268.76075
Debnath, L.
1973
Lecture notes on wavelet transforms. Zbl 1379.42001
Debnath, Lokenath; Shah, Firdous A.
2017
Growth of meromorphic functions depending on $$(p,q)$$-th relative order. Zbl 06750161
Debnath, Lokenath; Datta, Sanjib Kumar; Biswas, Tanmay; Kar, Ananya
2016
The Korteweg-de Vries-Burgers equation and its approximate solution. Zbl 1157.65057
Wang, Xiaohui; Feng, Zhaosheng; Debnath, Lokenath; Gao, David Y.
2008
The legacy of Leonhard Euler – a tricentennial tribute. Zbl 1297.01035
Debnath, Lokenath
2009
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
2012
Stress intensity factors for an interfacial crack between an orthotropic half-plane bonded to a dissimilar orthotropic layer with a punch. Zbl 1094.74679
Das, S.; Patra, B.; Debnath, L.
1998
Recent developments on the Stieltjes transform of generalized functions. Zbl 0636.46045
Pathak, Ram Shankar; Debnath, Lokenath
1987
On effect of viscosity on transient wave motions in fluids. Zbl 0176.54702
Debnath, L.
1969
Resonant oscillations of a porous plate in an electrically conducting rotating viscous fluid. Zbl 0297.76088
Debnath, Lokenath
1974
Diffraction of SH-waves by a Griffith crack in an infinite transversely orthotropic medium. Zbl 0954.74036
Das, S.; Patra, B.; Debnath, L.
1999
Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses. Zbl 1051.34069
Luo, Jiaowan; Debnath, Lokenath
2003
Effects of Hall current on unsteady hydromagnetic flow past a porous plate in a rotating fluid system. Zbl 0437.76097
Debnath, Lokenath; Ray, Sukomal Chandra; Chatterjee, Anadi Kumar
1979
Numerical solution of fractional differential equations using Haar wavelet operational matrix method. Zbl 1397.65121
Shah, Firdous A.; Abass, R.; Debnath, Lokenath
2017
Fractional wavelet frames in $$L^{2}(\mathbb{R})$$. Zbl 1402.42047
Shah, Firdous A.; Debnath, Lokenath
2018
Lecture notes on wavelet transforms. Zbl 1379.42001
Debnath, Lokenath; Shah, Firdous A.
2017
Numerical solution of fractional differential equations using Haar wavelet operational matrix method. Zbl 1397.65121
Shah, Firdous A.; Abass, R.; Debnath, Lokenath
2017
Minimum-energy wavelet frames on local fields. Zbl 1397.42023
Shah, Firdous A.; Debnath, Lokenath
2017
The double Laplace transforms and their properties with applications to functional, integral and partial differential equations. Zbl 1420.44002
Debnath, Lokenath
2016
Growth of meromorphic functions depending on $$(p,q)$$-th relative order. Zbl 06750161
Debnath, Lokenath; Datta, Sanjib Kumar; Biswas, Tanmay; Kar, Ananya
2016
Integral transforms and their applications. 3rd revised and updated ed. Zbl 1310.44001
Debnath, Lokenath; Bhatta, Dambaru
2015
Wavelet transforms and their applications. 2nd ed. Zbl 1308.42030
2015
Refinements of Jordan-Stečkin and Becker-Stark inequalities. Zbl 1308.26029
Debnath, Lokenath; Mortici, Cristinel; Zhu, Ling
2015
A short history of probability theory and its applications. Zbl 1317.60005
2015
Characterization of inner product spaces. Zbl 1420.46025
Sain, Debmalya; Paul, Kallol; Debnath, Lokenath
2015
Computation of antieigenvalues of bounded linear operators via centre of mass. Zbl 1342.47027
Paul, Kallol; Das, Gopal; Debnath, Lokenath
2015
Half-discrete Hilbert-type inequalities. Zbl 1296.26007
Yang, Bicheng; Debnath, Lokenath
2014
Some new convolution properties and inversion formulas of Laplace transforms. Zbl 1290.44001
Narahari, M.; Debnath, L.
2014
Tight wavelet frames on local fields. Zbl 1277.42047
Shah, F. A.; Debnath, Lokenath
2013
Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption. Zbl 1372.76111
Narahari, M.; Debnath, L.
2013
A short biography of Paul A. M. Dirac and historical development of Dirac delta function. Zbl 1293.01019
Debnath, Lokenath
2013
A brief historical introduction to determinants with applications. Zbl 1291.15001
Debnath, L.
2013
Nonlinear partial differential equations for scientists and engineers. 3rd revised ed. Zbl 1242.35001
Debnath, Lokenath
2012
Recent developments of Hilbert-type discrete and integral inequalities with applications. Zbl 1255.26009
Debnath, Lokenath; Yang, Bicheng
2012
On continuous Bessel wavelet transformation associated with the Hankel-Hausdorff operator. Zbl 1250.46029
2012
Wilker-type inequalities for hyperbolic functions. Zbl 1242.26017
Wu, Shanhe; Debnath, Lokenath
2012
Sharpness and generalization of Jordan’s inequality and its application. Zbl 1247.26030
Chen, Chao-Ping; Debnath, Lokenath
2012
Asymptotic regularity and fixed point theorems on a 2-Banach space. Zbl 1399.47147
Saha, M.; Dey, D.; Ganguly, A.; Debnath, L.
2012
Infinite pseudo-differential operators on $$W_M(R^n)$$ space. Zbl 1303.47070
2012
Explicit construction of $$M$$-band tight framelet packets. Zbl 1276.42027
2012
Modulational stability and instability of Korteweg-de Vries, Boussinesq, and Stokes nonlinear wavetrains. Zbl 1254.35202
Debnath, Lokenath
2012
$$p$$-wavelet frame packets on a half-line using the Walsh-Fourier transform. Zbl 1238.42014
Shah, F. A.; Debnath, Lokenath
2011
Dyadic wavelet frames on a half-line using the Walsh-Fourier transform. Zbl 1263.42014
Shah, F. A.; Debnath, Lokenath
2011
A short history of the Fibonacci and golden numbers with their applications. Zbl 1273.97003
Debnath, Lokenath
2011
Inequalities for differences of power means in two variables. Zbl 1240.26069
Wu, Shanhe; Debnath, Lokenath
2011
A brief historical development of classical mathematics before the Renaissance. Zbl 1274.01009
Debnath, Lokenath
2011
On a Hilbert-type linear series operator and its applications. Zbl 1205.47011
Jin, Jianjun; Debnath, Lokenath
2010
Parametrized Garfunkel-Bankoff inequality and improved Finsler-Hadwiger inequality. Zbl 1185.26023
Wu, Shanhe; Debnath, Lokenath
2010
On new two-dimensional Wigner-Ville nonlinear integral transforms and their basic properties. Zbl 1191.44001
Debnath, L.; Rao, B. V. Shankara Narayana
2010
Hartley transform for integrable Boehmians. Zbl 1208.46042
Loonker, Deshna; Banerji, P. K.; Debnath, Lokenath
2010
On the Hankel transform for Boehmians. Zbl 1207.44005
Loonker, Deshna; Banerji, P. K.; Debnath, Lokenath
2010
Three positive solutions of Sturm-Liouville type multi-point BVPs for second order $$p$$-Laplacian difference equations. Zbl 1229.39014
Xia, Jianye; Debnath, Lokenath; Jiang, Hongfeng; Liu, Yuji
2010
A generalization of L’Hospital-type rules for monotonicity and its application. (A generalization of L’Hôspital-type rules for monotonicity and its application.) Zbl 1163.26312
Wu, Shanhe; Debnath, Lokenath
2009
On the existence of positive solutions for singular boundary value problems on the half-line. Zbl 1185.34031
Sun, Yan; Sun, Yongping; Debnath, Lokenath
2009
The legacy of Leonhard Euler – a tricentennial tribute. Zbl 1297.01035
Debnath, Lokenath
2009
On Hilbert type inequalities with non-conjugate parameters. Zbl 1167.26315
Kuang, Jichang; Debnath, L.
2009
Generalizations of a parameterized Jordan-type inequality, Janous’s inequality and Tsintsifas’s inequality. Zbl 1163.26317
Wu, Shanhe; Debnath, Lokenath
2009
The $$n$$-dimensional continuous wavelet transformation on Gelfand and Shilov type spaces. Zbl 1193.42130
2009
Jordan-type inequalities for differentiable functions and their applications. Zbl 1168.26319
Wu, Shanhe; Debnath, Lokenath
2008
Some refined families of Jordan-type inequalities and their applications. Zbl 1147.26017
Wu, Shan-He; Srivastava, H. M.; Debnath, Lokenath
2008
A new generalization of Aczél’s inequality and its applications to an improvement of Bellman’s inequality. Zbl 1134.26310
Wu, Shanhe; Debnath, Lokenath
2008
Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem. Zbl 1155.34312
Liu, Zeqing; Debnath, Lokenath; Kang, Shin Min
2008
The Korteweg-de Vries-Burgers equation and its approximate solution. Zbl 1157.65057
Wang, Xiaohui; Feng, Zhaosheng; Debnath, Lokenath; Gao, David Y.
2008
Symmetric anti-eigenvalue and symmetric anti-eigenvector. Zbl 1141.47016
Hossein, Sk. M.; Paul, K.; Debnath, L.; Das, K. C.
2008
Sir James Lighthill and modern fluid mechanics. Zbl 1168.01010
Debnath, Lokenath
2008
Weighted generalization of Rado’s inequality and Popoviciu’s inequality. Zbl 1133.26313
Wu, Shanhe; Debnath, Lokenath
2008
Bounded oscillation criteria for second-order nonlinear delay difference equations of unstable type. Zbl 1152.39305
Debnath, L.; Jiang, J. C.
2008
Linear partial differential equations for scientists and engineers. 4th ed. Zbl 1104.35001
Myint-U, Tyn; Debnath, Lokenath
2007
On Hilbert’s type inequalities on the weighted Orlicz spaces. Zbl 1158.26008
Kuang, Jichang; Debnath, Lokenath
2007
A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality. II. Zbl 1162.26310
Wu, Shanhe; Debnath, Lokenath
2007
Inequalities for convex sequences and their applications. Zbl 1144.26016
Wu, Shanhe; Debnath, Lokenath
2007
Some properties of the Mittag-Leffler functions. Zbl 1118.33011
Gupta, Indranil Sen; Debnath, Lokenath
2007
Generalization of the Wolstenholme cyclic inequality and its application. Zbl 1132.26333
Wu, Shanhe; Debnath, Lokenath
2007
On new generalizations of the Hilbert integral inequality. Zbl 1118.26024
Lü, Zhongxue; Gao, Mingzhe; Debnath, Lokenath
2007
Existence of positive periodic solutions for a class of functional differential equations. Zbl 1202.34123
Sun, Yan; Han, Maoan; Debnath, Lokenath
2007
On linear and nonlinear Rossby waves in an ocean. Zbl 1233.35165
Debnath, Lokenath
2007
Integral transforms and their applications. 2nd ed. Zbl 1113.44001
Debnath, Lokenath; Bhatta, Dambaru
2006
A new generalized and sharp version of Jordan’s inequality and its applications to the improvement of the Yang Le inequality. Zbl 1132.26334
Wu, Shanhe; Debnath, Lokenath
2006
Tempered distributional Fourier sine (cosine) transform. Zbl 1131.42003
Banerji, P. K.; Al-Omari, S. K.; Debnath, Lokenath
2006
Two-layer transient water waves over a viscoelastic ocean bed. Zbl 1145.76013
Bhatta, Dambaru D.; Debnath, Lokenath
2006
Existence of unconditional wavelet packet bases for the spaces $$L^p(\mathbb R)$$ and $$\mathcal H^1(\mathbb R)$$. Zbl 1137.42007
Ahmad, Khalil; Kumar, Rakesh; Debnath, Lokenath
2006
Propagation of surface waves on irregular bed topography. Zbl 1082.76017
Warke, A. S.; Das, S. K.; Debnath, L.
2006
New oscillation criteria for first order delay differential equations in a critical state. Zbl 1190.34076
Jiang, J. C.; Debnath, L.
2006
Nonlinear partial differential equations for scientists and engineers. 2nd ed. Zbl 1069.35001
Debnath, Lokenath
2005
Generalizations of Aczél’s inequality and Popoviciu’s inequality. Zbl 1083.26019
Wu, Shanhe; Debnath, Lokenath
2005
A study of magneto-thermoelastic problems with thermal relaxation and heat sources in a three-dimensional infinite rotating elastic medium. Zbl 1211.74059
Baksi, Arup; Bera, Rasajit Kumar; Debnath, Lokenath
2005
A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems. Zbl 1095.34013
Xu, Yumei; Li, Lishan; Debnath, Lokenath
2005
On eigenvalue intervals and eigenfunctions of fourth-order singular boundary value problems. Zbl 1074.34079
Hao, Zhao-Cai; Debnath, Lokenath
2005
Convection in Hele-Shaw cell with parametric excitation. Zbl 1141.76452
Bhadauria, B. S.; Bhatia, P. K.; Debnath, Lokenath
2005
The general form of Hilbert’s inequality and its converses. Zbl 1082.26016
Kuang, Jichang; Debnath, Lokenath
2005
Some new Brunn-Minkowski-type inequalities in convex bodies. Zbl 1121.52024
Zhao, Chang-Jian; Leng, Gangsong; Debnath, Lokenath
2005
Solutions to few linear fractional inhomogeneous partial differential equations in fluid mechanics. Zbl 1076.35096
Debnath, Lokenath; Bhatta, Dambaru D.
2004
On Hankel type integral transformations of generalized functions. Zbl 1073.46034
Malgonde, S. P.; Debnath, Lokenath
2004
Quasi $$\beta$$-power increasing sequences. Zbl 1063.40006
Bor, H.; Debnath, L.
2004
Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelasticity. Zbl 1211.74058
Baksi, Arup; Bera, Rasajit Kumar; Debnath, L.
2004
Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings. Zbl 1044.65057
Liu, Z.; Debnath, L.; Kang, S. M.; Ume, J. S.
2004
Wavelet transforms for integrable Boehmians. Zbl 1046.42024
Banerji, P. K.; Loonker, Deshna; Debnath, Lokenath
2004
Mixed Parseval equation and generalized Hankel-type integral transformation of distributions. Zbl 1073.46033
Malgonde, S. P.; Bandewar, S. R.; Debnath, Lokenath
2004
The existence of positive entire solutions to singular nonlinear polyharmonic equations in $$\mathbb R^n$$. Zbl 1136.35345
Debnath, Lokenath; Xu, Xingye
2004
Periodic positive solutions for a delay nonlinear differential equation with piecewise constant arguments. Zbl 1076.34084
Wang, Genqiang; Yang, Bicheng; Debnath, L.
2004
Some new improvement of the Hardy-Hilbert inequality with applications. Zbl 1064.26019
Jia, Weijian; Gao, Mingzhe; Debnath, Lokenath
2004
Positive solutions of nonlinear elliptic singular boundary value problems in a ball. Zbl 1096.35043
Debnath, Lokenath; Xu, Xingye
2004
Bounds for total antieigenvalue of a normal operator. Zbl 1096.47020
Hossein, Sk. M.; Das, K. C.; Debnath, L.; Paul, K.
2004
On an extended multiple Hardy-Hilbert’s integral inequality. Zbl 1267.26024
Yang, Bicheng; Debnath, Lokenath
2004
Recent applications of fractional calculus to science and engineering. Zbl 1036.26004
Debnath, Lokenath
2003
New strengthened Jordan’s inequality and its applications. Zbl 1041.26005
Debnath, L.; Zhao, Chang-Jian
2003
Fractional integral and fractional differential equations in fluid mechanics. Zbl 1076.35095
Debnath, Lokenath
2003
A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems. Zbl 1055.34047
Hao, Zhaocai; Liu, Lishan; Debnath, L.
2003
Generalizations of Bernoulli numbers and polynomials. Zbl 1038.11013
Luo, Qiu-Ming; Guo, Bai-Ni; Qi, Feng; Debnath, Lokenath
2003
Generalizations of Euler numbers and polynomials. Zbl 1038.11014
Luo, Qiu-Ming; Qi, Feng; Debnath, Lokenath
2003
Sensitivity analysis for parametric completely generalized nonlinear implicit quasivariational inclusions. Zbl 1045.49009
Liu, Z.; Debnath, L.; Kang, S. M.; Ume, J. S.
2003
Positive periodic solutions of a delayed model in population. Zbl 1058.34088
Zhao, Chang-Jian; Debnath, L.; Wang, Ke
2003
Oscillation of second order quasilinear delay differential equations with impulses. Zbl 1055.34126
Luo, Weidong; Luo, Jiaowan; Debnath, Lokenath
2003
Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses. Zbl 1051.34069
Luo, Jiaowan; Debnath, Lokenath
2003
...and 158 more Documents
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all top 5

#### Cited in 348 Serials

 91 Applied Mathematics and Computation 85 Journal of Inequalities and Applications 74 Journal of Mathematical Analysis and Applications 72 Computers & Mathematics with Applications 48 Applied Mathematics Letters 32 Integral Transforms and Special Functions 30 Acta Mechanica 27 Abstract and Applied Analysis 25 International Journal of Mathematics and Mathematical Sciences 23 Journal of Computational and Applied Mathematics 22 Chaos, Solitons and Fractals 22 Applied Mathematical Modelling 22 Mathematical Problems in Engineering 22 International Journal of Applied and Computational Mathematics 20 Mathematical and Computer Modelling 19 International Journal of Mathematical Education in Science and Technology 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Fluid Mechanics 17 Meccanica 17 Nonlinear Dynamics 17 Advances in Difference Equations 16 Journal of Applied Mathematics and Computing 15 International Journal of Engineering Science 15 Communications in Nonlinear Science and Numerical Simulation 15 Journal of Function Spaces 13 Fixed Point Theory and Applications 13 Boundary Value Problems 12 Computational and Applied Mathematics 12 International Journal of Wavelets, Multiresolution and Information Processing 12 Journal of Mathematical Inequalities 12 Journal of Pseudo-Differential Operators and Applications 11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 11 Mathematics 10 International Journal of Computer Mathematics 10 Nonlinear Analysis. Real World Applications 10 Mediterranean Journal of Mathematics 9 Rocky Mountain Journal of Mathematics 9 Mathematics and Computers in Simulation 9 Fractional Calculus & Applied Analysis 9 Journal of Applied Mathematics 9 Journal of Applied Analysis and Computation 9 Journal of Mathematics 8 Journal of Mathematical Physics 8 Mathematical Methods in the Applied Sciences 8 Physics Letters. A 8 Results in Mathematics 8 Linear Algebra and its Applications 7 Applicable Analysis 7 Journal of Engineering Mathematics 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Numerical Methods for Partial Differential Equations 7 Journal of the Egyptian Mathematical Society 7 Turkish Journal of Mathematics 7 Acta Mathematica Sinica. English Series 7 Journal of Function Spaces and Applications 7 Complex Analysis and Operator Theory 7 Journal of Nonlinear Science and Applications 7 International Journal of Differential Equations 6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Applied Mathematics and Mechanics. (English Edition) 5 Computer Methods in Applied Mechanics and Engineering 5 Fluid Dynamics 5 Journal of Computational Physics 5 Journal of Differential Equations 5 Applied Numerical Mathematics 5 Journal of Scientific Computing 5 Computational Mathematics and Modeling 5 Numerical Algorithms 5 Archive of Applied Mechanics 5 Advances in Applied Clifford Algebras 5 Filomat 5 Journal of Difference Equations and Applications 5 Journal of Vibration and Control 5 European Journal of Mechanics. A. Solids 5 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 5 Applied Mathematics E-Notes 5 Acta Mechanica Sinica 5 Analysis and Mathematical Physics 5 S$$\vec{\text{e}}$$MA Journal 5 Journal of Classical Analysis 4 Astrophysics and Space Science 4 Bulletin of the Australian Mathematical Society 4 Journal of the Franklin Institute 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Approximation Theory 4 Mathematica Slovaca 4 SIAM Journal on Control and Optimization 4 Physica D 4 The Journal of Analysis 4 Applied and Computational Harmonic Analysis 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Engineering Analysis with Boundary Elements 4 Mathematics and Mechanics of Solids 4 The Ramanujan Journal 4 Mathematical Inequalities & Applications 4 European Journal of Mechanics. B. Fluids 4 Afrika Matematika 3 International Journal of Modern Physics B 3 Wave Motion 3 Mechanics Research Communications ...and 248 more Serials
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#### Cited in 54 Fields

 390 Real functions (26-XX) 372 Partial differential equations (35-XX) 241 Numerical analysis (65-XX) 239 Fluid mechanics (76-XX) 216 Ordinary differential equations (34-XX) 185 Operator theory (47-XX) 148 Harmonic analysis on Euclidean spaces (42-XX) 134 Mechanics of deformable solids (74-XX) 118 Special functions (33-XX) 100 Integral transforms, operational calculus (44-XX) 62 Functional analysis (46-XX) 58 Number theory (11-XX) 49 Integral equations (45-XX) 48 Biology and other natural sciences (92-XX) 42 Approximations and expansions (41-XX) 37 Dynamical systems and ergodic theory (37-XX) 36 Abstract harmonic analysis (43-XX) 36 Probability theory and stochastic processes (60-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 33 Systems theory; control (93-XX) 31 Functions of a complex variable (30-XX) 31 Information and communication theory, circuits (94-XX) 21 Geophysics (86-XX) 20 Statistics (62-XX) 19 Optics, electromagnetic theory (78-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Difference and functional equations (39-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 General topology (54-XX) 14 History and biography (01-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Combinatorics (05-XX) 13 Quantum theory (81-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Computer science (68-XX) 11 Potential theory (31-XX) 11 Sequences, series, summability (40-XX) 9 Operations research, mathematical programming (90-XX) 9 Mathematics education (97-XX) 7 Geometry (51-XX) 7 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Convex and discrete geometry (52-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX)

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