L.P. Lebedev, M.J. Cloud
"Approximating Perfection:A Mathematician's Journey into the World of Mechanics"; Princeton University Press , 2004

L.P. Lebedev, M.J. Cloud
"The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics ", World Scientific 2003

Books
Miscelania
CV
Preprints
Publications
 

 

L.P. Lebedev, I.I. Vorovich, G.M.L. Gladwell"
Functional analysis: Applications in mechanics and inverse problems
"; Kluwer Academic Publishers , 1996, 248 pp. ( 2-nd edition - 2002)

L.P. Lebedev, I.I. Vorovich "Functional analysis and its applications in mechanics of continuum media"; Vuzovskaya kniga, Moscow , 2000, 320 pp. (in Russian)

 

L.P. Lebedev, M.J. Cloud
"Tensor Analysis", World Scientific , 2003

L.P. Lebedev, I.I. Vorovich,
"Functional Analysis in Mechanics"; Springer NY, 2002 (revised and extended translation from the Russian edition)

L.P. Lebedev
"From the editor"; Preface to the book:
I.I. Vorovich, "Nonlinear theory of shallow shells";
Springer verlag , 1999, X-XI

L.P. Lebedev, A.B. Neymark
"Existence of a solution of a problem for a shallow shell (with stress function) witn an obstacle", Izvestiya Vuzov. Severo-Kavkazckij region. Estestv. Nauki, 2004, spec. issue, 55-59 (in Russian)

L.P. Lebedev, A.B. Neymark
"Equilibrium of a loaded Naghdi's shell restricted by a rigid obstacle", Izvestiya Vuzov. Severo-Kavkazckij region. Estestv. Nauki , 2003, Special issue "Nonlinear problems of continuum mechanics", 244-249

L.P. Lebedev, A.B. Neymark
"A contact problem for a nonlinear shallow shell and an elastic obstacle of Winkler's type", Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation (BSEC), 2003, no.1, 64-67

L.P. Lebedev, R.O. Grossi
"How did generalized solutions arise in solid mechanics", The International Journal of Mechanical Engineering Education , 2002. Vol. 30, no. 3, 219-226

L.P. Lebedev, V.K. Kalpakides, G. Foutsitzi "Solvability of boundary value problems of the dynamics of nonlinear viscoelastic shells"; Mathematics and Mechanics of Solids, 2001, vol. 6, no.1, 65-86

A.B. Neymark, L.P.Lebedev
"Equilibrium of an arc with an obstacle", Izvestiya Vuzov. Severo-Kavkazckij region. Estestv. Nauki , 2001, no.4, 67-71

I.I. Vorovich, L.P. Lebedev
"Theorems of existence and their application to numerical solution of boundary value problems of mechanics"; Izvestiya Vuzov. Severo-Kavkazckij region. Estestv. Nauki , 2000, no 1, 32-34 (in Russian)

J.A. Arango, L.P. Lebedev, I.I. Vorovich, "Some boundary value problems and models for coupled elastic bodies"; Quarterly of Applied Mathematics ,
1998, vol. LVI, no. 1, 157-172

L.P. Lebedev
"On the solvability of nonlinear problems in the dynamics of viscoelastic shells"; Doklady Rus. Akad. Nauk (translated as Russ. Acad. of Sciences. Doklady. Physics), 1998, vol. 361, no.2, 201-203

L.P. Lebedev
"Solvability of nonlinear problems in the statics of elastic (flattened) shallow shells"; Doklady Rus. Akad. Nauk (translated as Russ. Acad. of Sciences. Doklady. Physics) , 1998, vol.363, no.4, 486-488

I.I. Vorovich, L.P. Lebedev
"The problem of the equilibrium of a plate reignforced with stiffeners"; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics), 1999, vol. 63, no.1, 87-92

I.I. Vorovich, L.P. Lebedev
“On the finite element method in the nonlinear shell theory”; Russian Journal of Comp. Mechanics , 1993, no. 1, 1-21

V.A. Eremeev, L.P. Lebedev
“On stability of Mises's shallow truss under thermo-force load”; Izvestiya SKNTs Vyssh. Shkoly, ser. Estestv. Nauk
1991, no. 3, 22-26

L.P. Lebedev
“On properties of solutions of nonlinear problem of quasi-statics of viscoelastic shells”; Izvestiya SKNTs Vyssh. Shkoly, ser. Estestv. Nauk , 1983, no.2, 36-37

L.P. Lebedev
“On generalized set up for the problem of equilibrium of elastic band”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics), 1980, no.6, 1071-1075

L.P. Lebedev, V.M. Semiguk
“On behavior of solution of the problem of linear viscoelasticity”; Izvestiya SKNTs Vyssh. Shkoly, ser. Estestv. Nauk , 1980, no. 2, 20-22

L.P. Lebedev
“On the stability of the natural state of viscoelastic bodies”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics); 1975, no.6, 1110-1117

I.I. Vorovich, L.P. Lebedev
"On the existence of solutions of the nonlinear theory of shallow shells”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics) , 1972, no.4, 691-704

I. Vorovich, L.P. Lebedev
“On the Bubnov-Galerkin method in the nonlinear theory of oscillations of viscoelastic shells”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics), 1973, no.6, 1117-1124

   

L.P. Lebedev,
"Publication abroad, or recommendations for the translation of scientific papers into English and their preparation for publication"; Vuzovskaya kniga, Moscow , 1999, 548 pp
.

L.P. Lebedev, A.B. Neymark "The theorem of existence for a nonlinear shallow shell with an obstacle", Izvestiya VUZov, Matematica , 2004, no.9(508), 41-45 (in Russian)

L.P. Lebedev, R.O. Grossi
"La ecuacion de Poisson desde el punto de vista de la mecanica", Metodos numericos para calculo y diseno en ingenieria: Revista internacional, 2003, vol.19, no.3, 383-394

L.P. Lebedev, A.B. Neymark "Equilibrium of a highly deformable shallow shell pushed against an obstacle", Mathematics and Mechanics of Solids, 13 pp (to appear)

I.I. Vorovich, L.P. Lebedev, "Some issues of continuum mechanics and mathematical problems in the theory of thin-walled structures", International Applied Mechanics (Prikladnaya Mekhanika), 2002, vol.38, no.4, 387–398

R.O. Grossi, L.P. Lebedev, “Static and dynamic analyses of anisotropic plates with corner points”, Journal of Sound and Vibration , 2001, vol.243, no.5, 947-958

L.P.Lebedev, S.A. Solop, "Periodic damping oscillations of a shallow shell"; Izvestiya Vuzov. Severo-Kavkazckij region. Estestv. Nauki , 2000, spec. issue, 93-98

Yu. P. Stepanenko, L.P. Lebedev
"Thermoelasticity and the design of force transducers"; Experimental Techniques , 1999, Vol. 23, no.5, 33-37 (First version)

L.P. Lebedev, G.M.L. Gladwell "On spatial effects of modelling in linear viscoelasticity"; Journal of Elasticity , 1997, vol. 47, no. 3, 241-250

I.I. Vorovich, L.P. Lebedev, "The well-posedness of the statics problem of the nonlinear theory of shallow elastic shells"; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics), 1998, vol.62, no.4, 678-682

Yu.P. Stepanenko, L.P. Lebedev,
"On a systematic error in the estimate of creep in elements of a force transducer"; Izvestiya Akad Nauk, Problemy mashinostroeniya i nadezhnosti mashin , 1997, no.6, 64-67

L.P. Lebedev
“On thermodynamics and stability of Mises's truck”; Izvestija Akad. Nauk SSSR, Mekhanika. Deform. Tv. Tela (translated as Mechanics of Solids), 1991, no.2, 177-178

L.P. Lebedev
“Solution of the dynamic problem of viscoelastic shells”; Doklady Akad. Nauk SSSR (translated as Doklady Acad. USSR. Physics), 1982, vol.267, no.1, 62-64

L.P. Lebedev
“On equilibrium of a free non-linear plate”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics),
1980, no.1, 161-165

I.I. Vorovich, L.P. Lebedev, “On the quasistatic problem for viscoelastic body with moving boundary”; Izvestiya SKNTs Vyssh. Shkoly, ser. Estestv. Nauk , 1976, no.2, 16-19

I.I. Vorovich, L.P. Lebedev, Sh.M. Shlafman
“On some direct methods and existence of solution in the nonlinear theory of elastic nonshallow shells of revolution”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics); 1974, no.2, 339-348

L.P. Lebedev
“On the uniqueness of solution and certain approximate methods of solving linear viscoelasticity problems”; Prikladnaya Matematika i Mekhanika (translated as Journal of Applied Mathematics and Mechanics) , 1973, no.3, 505-514

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