Topics in dynamics I: Flows
by Edward Nelson
Publisher: Princeton University Press 1969
Number of pages: 122
These are the lecture notes for the first term of a course on differential equations, given in Fine Hall the autumn of 1968. The text covers differential calculus, Picard's method, the local structure of vector fields, sums and Lie products of vector fields, self-adjoint operators on Hilbert space, commutative multiplicity theory, extensions of Hermitean operators, sums and Lie products of self-adjoint operators.
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by Jeffrey R. Chasnov - The Hong Kong University of Science &Technology
Contents: A short mathematical review; Introduction to odes; First-order odes; Second-order odes, constant coefficients; The Laplace transform; Series solutions; Systems of equations; Bifurcation theory; Partial differential equations.
by Joseph Fels Ritt - The American Mathematical Society
We shall be concerned, in this monograph, with systems of differential equations, ordinary or partial, which are algebraic in the unknowns and their derivatives. The algebraic side of the theory of such systems seems is developed in this book.
by Dan Sloughter
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
by Boris Dubrovin - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.