Some remarks on extremal solutions of multivalued differential equations

1983 ◽  
Vol 40 (2) ◽  
pp. 221-235 ◽  
Author(s):  
K. A. Grasse
Keyword(s):  
Differential Equations ◽  
Extremal Solutions ◽  
Multivalued Differential Equations

scholarly journals Averaging of multivalued differential equations

2003 ◽  
Vol 2003 (25) ◽  
pp. 1615-1622 ◽  
Author(s):  
G. Grammel
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Fast Subsystem ◽  
Slow Subsystem ◽  
Multivalued Differential Equations

Nonlinear multivalued differential equations with slow and fast subsystems are considered. Under transitivity conditions on the fast subsystem, the slow subsystem can be approximated by an averaged multivalued differential equation. The approximation in the Hausdorff sense is of orderO(ϵ1/3)asϵ→0.

Existence of Extremal Solutions for Impulsive Delay Fuzzy Differential Equations in n-Dimensional Fuzzy Vector Space

2012 ◽  
Vol 542-543 ◽  
pp. 188-193
Author(s):  
Young Chel Kwun ◽  
Hae Eun Youm ◽  
Ja Hong Koo ◽  
Jin Han Park ◽  
Jong Jin Seo
Keyword(s):  
Differential Equations ◽  
Vector Space ◽  
Delay Condition ◽  
Extremal Solutions ◽  
Impulsive Delay ◽  
Equations With Delay ◽  
Fuzzy Vector

In this paper, we study the existence of extremal solutions for impulsive delay fuzzy differential equations in n-dimensional fuzzy vector space. This is an extension of the result of Kwun et al. [2] to impulsive fuzzy differential equations with delay condition.

RESULTS FOR SIXTH ORDER POSITIVELY HOMOGENEOUS EQUATIONS

2009 ◽  
Vol 14 (1) ◽  
pp. 25-32 ◽  
Author(s):  
Tatjana Garbuza
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Sixth Order ◽  
Extremal Solutions ◽  
Conjugate Points ◽  
Comparison Results

We consider positively homogeneous the sixth order differential equations of the type x (6) = h(t, x), where hpossesses the property that h(t, cx) = ch(t, x) for c ≥ 0. This class includes the linear equations x (6) = p(t)x and piece‐wise linear ones x (6) = k 2 x+ - k 1 x− . We consider conjugate points and angles associated with extremal solutions and prove some comparison results.

Sign in / Sign up

Export Citation Format

Share Document