Nonlinear Theory of Shallow Shells
This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.
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Volume 133
Editors J.E. Marsden L. Sirovich Advisors S. Antman J.K . Hale P. Holmes T. Kambe J. K eller K . K irchgassner B.J. Matkowsky C.S. Peskin
Springer
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Applied Mathematical Sciences 1. John: Partial Differential Equations, 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis. 3. Ha le: Theory of Functional Differential Equations, 2nd ed. 4. Percus: Combinatorial Methods. 5. von Mises/Friedrichs: Fluid Dynamics. 6. Freiberger/Grena nder: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Gia coglia : Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. 11. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. Bluma n/Cole: Similarity Methods for Differential Equations. 14. Yoshiza wa : Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Bra un: Differential Equations and Their Applications, 3rd ed. 16. Lefschetv Applications of Algebraic Topology. 17. Colta tz/Wetterling: Optimization Problems. 18. Grena nder: Pattern Synthesis: Lectures in Pattern Theory, Vol. I. 19. Ma rsden/McCra cken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Coura nt/Friedrichs: Supersonic Flow and Shock Waves. 22. Rouche/Ha bets/La loy: Stability Theory by Liapunov's Direct Method. 23. La mperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grena nder: Pattern Analysis: Lectures in Pattern Theory, Vol. 11. 25. Da vies: Integral Transforms and Their Applications, 2nd ed. 26. Kushner/Cla rk: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Guide to Splines. 28. Keilson: Markov Chain Models—Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Shia tycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. Meis/Ma rkowitz: Numerical Solution of Partial Differential Equations. 33. Grena nder: Regular Structures: Lectures in Pattern Theory, Vol. m .
34. Kevorkia n/Cole: Perturbation Methods in Applied Mathematics. 35. Ca rr: Applications of Centre Manifold Theory. 36. Bengisson/Ghil/Kullen: Dynamic Meteorology: Data Assimilation Methods. 37. Sa perstone: Semidynamical Systems in Infinite Dimensional Spaces. 38. Uchtenberg/Lieberma n: Regular and Chaotic Dynamics, 2nd ed. 39. Piccini/Sta mpa cchia Vidossich: Ordinary Differential Equations in R". 40. Na ylor/Sell: Linear Operator Theory in Engineering and Science. 41. Spa rrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. 42. Guckenheimer/Holmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 43. Ockendon/Ta ylor: Inviscid Fluid Flows. 44. Pa zy: Semigroups of Linear Operators and Applications to
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