scholarly journals ASYMPTOTICS FOR SECOND ORDER DELAYED DIFFERENTIAL EQUATIONS

2007 ◽  
Vol 26 (1) ◽  
Author(s):  
SAMUEL CASTILLO ◽  
MANUEL PINTO
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Delayed Differential Equations

Positive solutions to delayed differential equations of the second-order

2019 ◽  
Vol 94 ◽  
pp. 52-58 ◽  
Author(s):  
Josef Diblík ◽  
Mária Kúdelčíková ◽  
Miroslava Růžičková
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Second Order ◽  
Delayed Differential Equations

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

Series expansions for monogenic functions in Clifford algebras and their application

2020 ◽  
Vol 17 (3) ◽  
pp. 365-371
Author(s):  
Anatoliy Pogorui ◽  
Tamila Kolomiiets
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Vector Space ◽  
Clifford Algebra ◽  
Clifford Algebras ◽  
Monogenic Function ◽  
Second Order ◽  
Series Expansions ◽  
Monogenic Functions ◽  
Partial Differential

This paper deals with studying some properties of a monogenic function defined on a vector space with values in the Clifford algebra generated by the space. We provide some expansions of a monogenic function and consider its application to study solutions of second-order partial differential equations.

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