The asymptotic theory deals with the problern of determining the behaviour of ...The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is replaced by another known function ( named the asymptotic function) close (in a sense) to the function...more
The asymptotic theory deals with the problern of determining the behaviour of ...The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is replaced by another known function ( named the asymptotic function) close (in a sense) to the function...more
Since the initiative works for global analysis oflineardifferential equation...Since the initiative works for global analysis of linear differential equations by G.G. Stokes and B. Riemann in 1857 the Airy function and the Gauss hypergeometric function became the most important and the greatest practical special functions...more
This monograph contains a description of original methods and results concern-...This monograph contains a description of original methods and results concern- ing global properties of linear differential equations of the nth order n 2 in the real domain. This area of research concerning second order linear differential...more
Et moi .. si lavait su CO.llUlJalt en revc: nir One acMcc matbcmatica bu JaIdc...Et moi .. si lavait su CO.llUlJalt en revc: nir One acMcc matbcmatica bu JaIdcred the human rac: c. It bu put COIDIDOD _ beet je n y serais point aBe. Jules Verne wbac it bdoup 0Jl !be IbcII _t to !be dusty cauialcr Iabc&d diMardod__ The series is...more
At the beginning of this century Emil Picard wrote: Les equations differentiel...At the beginning of this century Emil Picard wrote: Les equations differentielles de la mecanique classique sont telles qu il en resulte que le mouvement est determine par la simple connaissance des positions et des vitesses c est-a-dire par l etat...more
The main part of the book is based on a one semester graduate course for stude...The main part of the book is based on a one semester graduate course for students in mathematics. I have attempted to develop the theory of hyperbolic systems of differen- tial equations in a systematic way making as much use as possible ofgradient...more
In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an ineq...In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book...more
PREFACE The theory ofdifferential-operator equations has been described in va...PREFACE The theory of differential-operator equations has been described in various monographs but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied the mathematical proofs are either...more
Et moi ... si j avait su comment en reveru.r One service mathematics has rende...Et moi ... si j avait su comment en reveru.r One service mathematics has rendered the je n y scrais point aIle. human race. It has put common sense back Jules Verne where it belongs on the topmost shelf next to the dusty canister labelled discarded...more
The present book has its source in the authors wish to create a bridge between...The present book has its source in the authors wish to create a bridge between mathematics and the technical disciplines that need a good knowledge of a strong mathematical tool. The authors tried to reflect a common experience of the University of...more
Ordinary differential control thPory (the classical theory) studies input/outp...Ordinary differential control thPory (the classical theory) studies input/output re- lations defined by systems of ordinary differential equations (ODE). The various con- cepts that can be introduced (controllability observability invertibility etc....more
Beginning with the works of N.N.Krasovskii [81 82 83] which clari- fied the fu...Beginning with the works of N.N.Krasovskii [81 82 83] which clari- fied the functional nature of systems with delays the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional...more
Approach your problems from the right It isn t that they can t see the solutio...Approach your problems from the right It isn t that they can t see the solution. It end and begin with the answers. Then is that they can t see the problem. one day perhaps you will find the final question. G. K. Chesterton. The Scandal of Father...more