Boundary Value Problems for Functional Differential Equations

By: Johnny L Henderson (Editor)

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Hardcover | 1 December 1994

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316 Pages

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Functional differential equations have received attention since the 1920s. Within that development, boundary value problems have played a prominent role both in the theory and applications dating back to the 1960s. This text attempts to present some of the more recent developments from a cross-section of views on boundary value problems for functional differential equations. Contributions represent not only a flavour of classical results involving, for example, linear methods and oscillation-nonoscillation techniques, but also modern nonlinear methods for problems involving stability and control as well as cone theoretic, degree theoretic and topological transveratility strategies. A balance with applications is provided through a number of papers dealing with pendulum with dry friction, heat conduction in a thin stretched resistance wire, problems involving singularities, impulsive systems, travelling waves, climate modelling and economic control. With the importance of boundary value problems for functional differential equations in applications, it is not surprising that as new applications arise, modifications are required for even the definitions of the basic equations. This is the case for some of the papers contributed by the Perm seminar participants. Also, some contributions are devoted to delay Fredholm integral equations, while a few papers deal with what might be termed as boundary value problems for delay-differential equations.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface
Right Focal Point Boundary Value Problems for Functional-Differential Equations	p. 1
The Ideas and Methods of the Perm Seminar on Boundary Value Problems	p. 13
On Extension of the Vallee-Poussin Theorem to Equations With Aftereffect	p. 23
Initial-Boundary Value Problems for Impulsive Parabolic Functional Differential Equations	p. 37
Boundary Value Problems on Infinite Intervals	p. 49
Existence of Steady-State Solutions to Some Constant-Voltage Problems	p. 63
An Existence Theorem for Hereditary Lagrange Problems on an Unbounded Interval	p. 73
Dynamical Spectrum for Skew Product Flow in Banach Spaces	p. 85
On Boundary Value Problems for First Order Impulse Functional Differential Equations	p. 107
Linearized Problems and Continuous Dependence	p. 119
Positive Solutions and Conjugate Points for a Class of Linear Functional Differential Equations	p. 131
Boundary Value Problems for Second Order Mixed Type Functional Differential Equations	p. 143
The Filippov Approach to Boundary and Initial Value Problems and Applications	p. 153
An Existence Result for Delay Equations Under Semilinear Boundary Conditions	p. 165
Periodic Solutions of Functional Differential Equations of Retarded and Neutral Types in Banach Spaces	p. 177
Existence of Traveling Waves for Reaction Diffusion Equations of Fisher Type in Periodic Media	p. 187
Permanence of Periodic Solutions of Retarded Functional Differential Equations	p. 201
Method of Quasilinearization for Boundary Value Problems for Functional Differential Equations	p. 209
A Resolvent Computation Related to Completeness for Compact Operators	p. 215
The Study of the Solvability of Boundary Value Problems for Functional Differential Equations: A Constructive Approach	p. 227
Boundary Value Problems for Neutral Functional Diffential Equations	p. 239
Existence Principles for Nonlinear Operator Equations	p. 251
Sturmian Theory and Oscillation of a Third Order Linear Difference Equation	p. 261
Multipoint Boundary Value Problems for Functional Differential Equations	p. 269
Third Order Boundary Value Problems for Differential Equations with Deviating Arguments	p. 277
Periodic Solutions and Liapunov Functionals	p. 289
Boundary Value Problems of Second Order Functional Differential Equations	p. 301
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Boundary Value Problems for Functional Differential Equations

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