Trends and developments in ordinary differential equations Book

	Preface
	Dedication
	The honorees
	Acknowledgement
	Computing Sturm-Liouville Eigenvalues for General Limit Circle Boundary Conditions	1
	Use of Operators in Difference Equations	7
	Recent Developments in Complex Oscillation Theory	13
	Multisummability and Stokes Phenomenon for Linear Meromorphic Differential Equations	15
	On a Representation of a Fundamental System of Solutions for the Sturm-Liouville Equation and its Applications	27
	The Singularity Deferred Approach to the Limit	37
	Mathieu Functions with Large Parameters: The Eigenvalue Problem	49
	Linear Differential Equations with Operator-Valued Coefficients and Asymptotic Parameters	59
	On a Generalization of Bessel Functions Satisfying Higher-Order Differential Equations	65
	A Mechanism for Connection	77
	Dynamics of the Emigration Inside a Functional Economic Area (FEA)	87
	Regular Variation and Solutions of Second Order Differential Equations	97
	The Vibrated Pendulum with a Fixed Mass and a Sliding Mass	103
	Distribution of Real Eigenvalues in Sturm-Liouville Problems with Infinitely Many Turning Points	113
	On Radial Solutions with the Euler-Lagrange Equations of Invariant Energy Functionals	123
	A Generalized Singularity of the First Kind	131
	Persistence of Singular Perturbation Solutions in Noisy Environments	141
	Globally Analytic Decompositions of a Matrix Function and a System of Differential Equations	143
	On Summability of Formal Solutions and the Stokes Phenomenon in a Class of Difference Equations of Level 1[superscript +]	153
	Stability of Symmetric Periodic Solutions of a Differential Delay, Equation	159
	A New Method for a System of Two Nonlinear Equations without Poincare Conditions	165
	Uniqueness of Limit Cycles of Certain Planar Vector Fields with Codimension Two Singularities	179
	Parallelization of Initial Value Problem Codes for MIMD-DM Architectures	189
	On Hypergeometric Functions of Confluent Type of Several Variables	199
	Connection Problem for Hypergeometric Systems	211
	Monotone Iterative Method for Second Order Impulsive Differential Equations	221
	On Regularizing Differential-Algebraic Equations	231
	Connection Coefficients for a Certain nth Order Differential Equation	243
	Synthesizing Optimal Controls for Nonlinear Systems with Nonquadratic Cost Criteria	255
	Solution in the Large of a Certain Third Order Differential Equation of Langer	271
	A Majorant Method for Differential Equations with a Singular Parameter	283
	On the Double Confluent Heun Equation	293
	Asymptotic Analysis of a Differential-Algebraic System with Shock Structure	305
	Geometry of Resonance Poles for 3-Dimensional Schrodinger Operator with Nearly Coulomb Potential	315
	The Gevrey Asymptotics and Exact Asymptotics	325
	Universal Shapes for Rotating Incompressible Fluid Drops	337
	A Generalization of the Airy Integral for f'' - z[superscript n] f = 0	347
	Stokes Multipliers for a Generalized Weber Equation	349
	Limiting Absorption Principle for Schrodinger Operators with Oscillating Potentials	359
	Exponential Asymptotics and the Stokes Phenomenon for Nonlinear Ordinary Differential Equations	369
	On the Differential Equations y'' + exp(y[superscript m] - t) = 0	379
	A Generalization of the Levinson Theorem	383
	Computing Continuous Spectrum	393