CONTENTS
Honoring Professor E. A. coddington	iii
Preface	vii
contributors	xv

Unbounded Perturbations and the Existence of Differentiable Solutions of the Cauchy Problem in Banach Space 1 Nazar Hussein Abdelaziz

Escape Time by Fixed Point Theorem
A.	R. Aftabizadeh
th
Asymptotic Behaviour of Solutions of N Order Differen
tial Equations with or without Delay	9 Olusola Akin yele and R. S. Dahiya

Nonconstant Periodic Solutions of Nonlinear Differential
Equations	13
Shair Ahmad and Francisco Montes de Oca
Evolution Water Coning Problem		27
Y.	Amirat, A. El Kolli and A. Ziani

Conditions for Periodic Solutions to Hill’s Equation
with an even Periodic Coefficient	31 Bernard A. Asner, Jr.

Metrics and Tolerances
Prem H. Bajaj

Global Existence for Nonlinear Second Order Differential
Equations	43
John V. Baxley

Asymptotically Nonresonant Nonlinear Equations	51 Ronald i. Becker

Boundedness of Oscillatory Solutions of Fourth Order
Linear Ordinary Homogeneous Differential Equations	57
Abdelali Benharbit

A Neighborhood of the Hopf Singularity	61
S.	R. Bernfeld

Second Order Differential Systems with Generalized Non
linear Boundary Conditions		69
S.	R. Bernfeld

Dynamics and Bifurcation in one Dimension	77 Louis Block and David Hart

ix
x	CONTENTS

The Effect of Harvesting on Population Systems	81 Fred Brauer

Invariants of Vortex Motions in the Plane	91 Jacob Burbea

Instability and Stability in Volterra Equations
T.	A. Burton and W. E. Mahfoud

Alternating Bounds Converging to the Solution of a Semi—
linear Euler—Poisson--Darboux Equation		105
C.	Y. chan

Comparison Theorems and Stochastic Boundary Value Prob
lems	111 Jagdish chandra and G. S. Ladde

Constrained Global Null Controllability of Nonlinear
Delay Systems	121
Ethelbert N. Chukwu

Spectral Theory for Symmetric Pairs of Ordinary Differ
ential Operators	129 Earl A. coddington

Almost Periodic Solutions to Some Nonlinear Parabolic
Equations		139
C.	Corduneanu

Conjugate Points and Disconjugacy of Second Order Systems	143 Fozi M. Dannan

Some Results on the Existence of Free Boundaries for Parabolic Reaction—Diffusion Systems
ildefonso Diaz and Jesus Hermàndez

A Neutral System with State—Dependent Delays	157
R.	D. Driver

Asymptotic Properties of Solutions to a Class of Non-linear Systems of Differential Equations Arising in
Pharmacokinetics and Tracer Kinetics		163
J.	Eisenfeld

Some Remarks on Semiflows	171 Saber Elaydi

A Two Dimensional Model for Turbulence	177
W.	E. Fitz gibbon

Asymptotic Properties of Inhomogeneous Wave Equations	185 Jerome A. Goldstein and James T. Sandefur, Jr.

On a property of Olicz—Sobolev Spaces	197 J.—P. Gossez

An Optimal L Error Estimate for Galerkin Approxi
mations to Solutions of Iwo—Point Nonlinear Boundary	201
Value Problems
John Gregory and Marvin Zeman
Quadracic Systems		207
R.	D. S. Grisell
CONTENTS
	xi

Continuation Theorems for Nonlinear Equations
Chai tan P. Gupta

Multiplicative Perturbation of m—Accretive Operators and
Evolution Equations in	L	221
Ki Sik Ha
Energy Bounds for the Slow Capture by a Center	227
Richard Haberman

An Integral Equation for Helminthic Infections: Stabi
lity of the Non—Infected Population		231
K.	P. Hadeler

Asymptotic Analysis of Rudimentary Models of Toxicant— Population Interactions
	241
Thomas G. Hallam

On the Asymptotic Stability by Lyapunov Function with Semidefinite Derivative
	247
L.	Hatvani

Ergodic Theorems for Nonlinear Volterra Integral Equa—
tions	255
Douglas S. Hulbert and Simeon Reich
Some Remarks on Continuous and Discrete Flows		263
S.	K. Kaul

Some Stability Notions
	269
Ronald A. Knight

Functional Differential Inequalities and Equations with
Oscillating Coefficients
G.	Ladas, Y. G. Sficas and i. P. Stavroulakis	277

The Present State of the Method of Upper and Lower
Solutions
	285
V.	Lakshmikantham

On a Conjecture om the Number of Solutions of a Nonli—
near Dirichlet Problem with Jumping Nonlinearity		301
A.	C. Lazer and P. J. McKenna

Operator Parts of Ordinary Differential Subspaces with
Application to Nonlinear Problems	315
Sung J. Lee

Large—Scale Systems, Cone—Valued Lyapunov Functions and Quasi—Solutions
	323
S.	Leela

A Nonlinear Volterra Integrodifferential Equation Occur— ing in Heat Flow
	331
S.-O. Londen and J. A. Hohel
On Exact Controllability in Hilbert Spaces	339
J.-Cl. louis and D. Wexler
Continuous Dependence for Demicompact Maps	349
Rafiq Makhluf and Zdenek Vorel

Vector Lyapunov Functions Method in the Analysis of
Dynamical Properties of Nonlinear Differential Equations		357
V.	M. Matrosov
	xii	CONTENTS

Some Recent Topics on Nonlinear Semi—Groups	375 isao Miyadera

Set Valued Extensions of Integral Inequalities	383
R.	E. Moore

Equations with Nonlinearities Defined only on Subsets
R.	Kent Hagle

Operator Parts and Generalized Inverses for Linear Mani
folds with Applications		395
Z.	Nashed

Some Global Steepest Descent Results for Nonlinear
Systems	413
John W. Neuberger

Nonlinear Problems at Resonance via Lyapunov—Like Func
tions		419
J.	J. Nieto

Some Problems Concerning Nonlinear Oscillators in Neu
ral Networks	425
M.	Namik Oguztöreli

An Inclusion Principle for Hereditary Systems
Y.	Ohta and D. D. Siljak

On Critical Case of Liapunov’ s Stability of One—Degree
of Freedom System	443 Andrzej Olas

Some Computational Procedures for Nonlinear Problems in a
R 449

M.	C. Pandian

Monotone Convergence of Time—Dependent Solutions for
Coupled Reaction—Diffusion Systems		455
C.	V. Pao

A Simple Conversion of Two—Point BVP to One Point BVP	467 Fred R. Payne and Fung-Tai Ko

Constructive Existence of Solution to a Nonlinear Eigen
value Problem with Application to Nth Order Reaction	477
Diffusion Problems
W.	L. Perry

A Frequency Domain Approach for Finding the Limit Be
havior of Retarded Differential Equations		483
V.	M. Popov

Labeled Graphs and a Class of Generalized Volterra

Systems	495
Ray Redheffer

The Method of Quasi Upper and Lower Solutions for Extre— mal Solutions of Volterra Integral Equations in Abstract 505
Cones
G.	R. Shendge

Perturbed Bifurcation Theory for a Class of Autonomous
Ordinary Differential Equations	511
Ratnasingham Shivaji
CONTENTS	xiii

Bifurcation of Subharmonic Solutions for a Periodic
Epidemic Model
Hal L. Smith

Some Comparison and Convergence Theorems in (n,k)—Para—
meter Families		523
S.	Umamaheswaram

Obstructions to the Existence of Transverse Volume Ele
ments of Foliations		525
l.	Vaisman

Ihe Monotone Method for a Second—Order Differential Equa
tion		535
C.	Vargas

Existence of Coupled Minimal and Maximal Periodic Quasi— solutions for Systems of First Order PBVP via Quasisolu— 541 tions
A.	S. Vatsala
Differential Equations with Piecewise Constant Delays	547
Joseph Wiener

Asymptotic Behavior of Solutions in Nonautonomous Sys
tems	553
Taro Yoshizawa