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4. Shallow Water Models and Their Analytical Properties

5. Integrability and Other Analytical Properties of Nonlinear PDE Systems

6. Equations of Fluid Dynamics and the Shallow Water Approximation

7. Arens regularity

8. Banach algebras

9. Banach algebras on locally compact groups

10. BSE norms and BSE algebras

11. Banach function algebras

12. Banach spaces and operators

13. Annex

14. Second-order parabolic and hyperbolic PDEs

15. Second-order linear elliptic PDEs: maximum principle and classical solutions

16. Distributions

17. Second-order linear elliptic PDEs: weak solutions

18. Sobolev spaces

19. Notations and review

20. First-order PDEs: classical and weak solutions

21. Partial differential equations

22. Scalar Optimization under Uncertainty

23. Generalized Differentiation and Optimality Conditions

24. Applications

25. Functional Analysis over Cones

26. Optimization in Partially Ordered Spaces

27. Examples

28. Prime Density of Companion Lucas Sequences

29. Divisibility Sequences and Further Generalizations

30. Cubic Extensions of the Lucas Sequences

31. Some Properties of Lucasnomials

32. Linear Recurrence Sequences and Further Generalizations

33. Introduction

34. Some Further Properties of the Lucas Sequences

35. Applications

36. Epilogue and Open Problems

37. Basic Theory of the Lucas Sequences

38. Application Examples

39. Introduction

40. Efficient Portfolios for Vector Risk Functions

41. Efficient Portfolios for Scalar Risk Functions

42. Elements of classical theory of stochastic processes

43. Random variables and their quantitative characteristics

44. Stochastic differential equations, diffusion processes and their applications

45. Supplementary problems

46. Weak convergence of sequences of random variables

47. Discrete time stochastic analysis: further results and applications

48. Absolute continuity of probability measures and conditional expectations

49. Discrete time stochastic analysis: basic results

50. General theory of stochastic processes under 'usual conditions'

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