Existence of solutions of a class of generalized ordinary differential equations

AbstractEffective sufficient conditions are given for the unique solvability of the Cauchy problem for linear systems of generalized ordinary differential equations with singularities.

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On the global existence of solutions of second order ordinary differential equations

Journal of Differential Equations ◽

10.1016/0022-0396(69)90088-6 ◽

1969 ◽

Vol 5 (3) ◽

pp. 476-482 ◽

Cited By ~ 1

Author(s):

Klaus Schmitt

Keyword(s):

Global Existence ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Existence Of Solutions ◽

Second Order ◽

Global Existence Of Solutions

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On the Asymptotic Theory of a Class of Ordinary Differential Equations of Fourth Order II. Existence of Solutions which are Approximated by the Formal Solutions

Studies in Applied Mathematics ◽

10.1002/sapm1969484311 ◽

1969 ◽

Vol 48 (4) ◽

pp. 311-340 ◽

Cited By ~ 5

Author(s):

C. C. Lin ◽

A. L. Rabenstein

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Asymptotic Theory ◽

Existence Of Solutions ◽

Formal Solutions

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Generalized Ordinary Differential Equations

10.1002/9781119655022.ch4 ◽

2021 ◽

pp. 145-171

Author(s):

Everaldo M. Bonotto ◽

Márcia Federson ◽

Jaqueline G. Mesquita

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Generalized Ordinary Differential Equations

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Application of implicit function theorems to existence of solutions to ordinary differential equations with nonlocal boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00262-7 ◽

2002 ◽

Vol 273 (2) ◽

pp. 512-528 ◽

Cited By ~ 2

Author(s):

L.E. Bobisud ◽

Tae S. Do ◽

Y.S. Lee

Keyword(s):

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Existence Of Solutions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Implicit Function ◽

Implicit Function Theorems

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Stability in terms of two measures for population growth models with impulsive perturbations

International Journal of Biomathematics ◽

10.1142/s1793524520500515 ◽

2020 ◽

Vol 13 (06) ◽

pp. 2050051

Author(s):

Zhinan Xia ◽

Qianlian Wu ◽

Dingjiang Wang

Keyword(s):

Differential Equations ◽

Population Growth ◽

Ordinary Differential Equations ◽

Trivial Solution ◽

Growth Models ◽

Two Measures ◽

Impulsive Perturbations ◽

The Stability ◽

Generalized Ordinary Differential Equations ◽

Population Growth Models

In this paper, we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations. The working tools are based on the theory of generalized ordinary differential equations. Here, the conditions concerning the functions are more general than the classical ones.

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