This book contains a superb treatment of the classical theories of nonlinear equations including integral equations of the volterra type it was written in 1960 when the use of computers to solve differential equations and dynamical systems was in its infancy and the book is of course dated in this aspect. Abebookscom introduction to nonlinear differential and integral equations dover books on mathematics 9780486609713 by harold t davis and a great selection of similar new used and collectible books available now at great prices. The remaining chapters are concerned with nonlinear integral equations problems from the calculus of variations and numerical integration of nonlinear equations throughout the book the results of distinguished analysis of the past and modern machine computations are both taken into account. Starting with an introduction to differential equations the text proceeds to examinations of first and second order differential equations series solutions the laplace transform systems of differential equations difference equations nonlinear differential equations and chaos and partial differential equations. After a general survey of the problem presented by nonlinear equations the author discusses the differential equation of the first order following this by chapters on the riccati equation as a bridge between linear and nonlinear equations and existence theorems with special reference to cauchys method
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