ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO CERTAIN PROBLEMS INVOLVING NON-LINEAR DIFFERENTIAL EQUATIONS CONTAINING A SMALL PARAMETER MULTIPLYING THE HIGHEST DERIVATIVES

Theory of Ordinary Differential Equations

1956 • 6,499 citations

On the asymptotic character of the solutions of certain linear differential equations containing a parameter

1908 • 279 citations

Asymptotic phenomena in mathematical physics

1955 • 163 citations

Periodic Solutions of Singularly Perturbed Systems

1955 • 93 citations

Singular perturbations of non-linear oscillations

1946 • 85 citations

Über die Differentialgleichung y"= ƒ(x, y, y')

1937 • 79 citations

Perturbations of discontinuous solutions of non-linear systems of differential equations

1950 • 73 citations

A boundary value problem for a nonlinear differential equation with a small parameter

1952 • 69 citations

Singular Perturbations of Non-Linear Systems of Differential Equations and an Associated Boundary Layer Equation

1954 • 63 citations

Singular perturbations of boundary value problems for nonlinear differential equations of the second order

1956 • 62 citations

On the Asymptotic Solution of Boundary Value Problems for Ordinary Differential Equations Containing a Parameter

1944 • 46 citations

Asymptotic Solutions of Certain Ordinary Differential Equations Associated with Multiple Roots of the Characteristic Equation

1936 • 35 citations

Singular perturbation of eigenvalue problems for linear differential equations of even order

1955 • 33 citations

The asymptotic behavior of the stable initial manifolds of a system of nonlinear differential equations

1957 • 28 citations

Singular perturbations of nonlinear systems of differential equations related to conditional stability

1956 • 27 citations

Theory of linear differential equations containing a parameter

1936 • 27 citations

I. G. Petrowski (Prof. a. d. Lomonossow‐Univ. Moskau), Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen. 198 S. m. 27 Abb. Leipzig 1954. B. G. Teubner Verlagsgesellschaft. Preis geb. 7,80 DM

1955 • 17 citations

A boundary value problem for a singularly perturbed differential equation

1958 • 15 citations

Über das Verhalten der Integrale von λy"+ƒ(x, y, y, 'λ)=0 fur λ→0

1939 • 12 citations

Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen

1954 • 10 citations

VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS

1950 • 10 citations

Über das Verhalten der Lösungen einer Folge von Differentialgleichungsproblemen, welche im Limes ausarten

1935 • 5 citations