Functional Differential Equations and Bifurcation

Antonio F. Ize

• 01 mei 1980
• 9783540099864

Samenvatting:

Liénard equations and control.- Periodic solutions of semilinear functional differential equations in a Hilbert space.- Stability of nonconservative linear systems.- An analysis of the characteristic equation of the scalar linear difference equation with two delays.- A liapunov functional for a matrix retarded difference-differential equation with several delay.- A compactness theorem for integral operators and applications.- Periodic solutions of nonlinear autonomous hyperbolic equations.- Contact equivalence and bifurcation theory.- Some recent results on dissipative processes.- Volterra stieltjes-integral equations.- Relationship in the neighbourhood of infinity and asymptotic equivalence of neutral functional differential equations.- Stability in functional differential equations.- Topological equivalence in bifurcation theory.- On a Hartree type equation: Existence of regular solutions.- Approximation - solvability of some nonlinear operator equations with applications.- The levin-nohel equation on the torus.- Non-singular structural stable flows on three-dimensional manifolds.- Qualitative properties of certain ordinary differential systems.- Applications of the integral averaging bifurcation method to retarded functional differential equations.- Moduli and bifurcations: Non-transversal intersections of invariant manifolds of vectorfields.- Stability properties in almost periodic systems of functional differential equations.