Page Introduction Part I. Travelling waves 1. Existence, uniqueness and properties of the travelling wave 2. KPP transform of the travelling wave 3. Second existence theorem for the travelling wave Part II. Asymptotic behavior of the time dependent solution 4. Stability and instability criteria for ιυ\(x) 5. A problem with higher space dimension 6. Second stability theorem Part III. Method of KPP transform 7. Fundamental theorem of KPP 8. Stability of the slowest travelling wave 9. Stability of the travelling wave with arbitrary speed 10. An example References 66 /^.oo XtζA or lim sup \u(x 9 t)-zϋ λ (x-{-c)\ = 0 for some c.
Green's functions to 2-point simple type self-adjoint boundary value problems for bending of a beam under relatively strong tension on an elastic foundation are studied. We have 9 different Green's functions. All are positive-valued and have a suitable hierarchical structure.
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