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New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus ?
(Elsevier B.V., 2021-02-01)
This article provides a new characterization of the switching points for generalized Hukuhara differentiability and shows that the set of all switching points is at most countable. Using these results, new properties in ...
Bounded and periodic solutions of nonlinear integro-differential equations with infinite delay
(2009)
By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...
INDEX OF AN IMPLICIT DIFFERENTIAL EQUATION
(UNIV AUTONOMA BARCELONA, 2010)
In this paper we introduce the concept of the index of an implicit differential equation F(x,y,p) = 0, where F is a smooth function, p = dy/dx, F(p) = 0 and F(pp) = 0 at an isolated singular point. We also apply the results ...
On the differential simplicity of affine rings
(American Mathematical Society - AMSProvidence, 2014-05)
We prove that every complex regular affine ring is differentially simple relative to a set with only two derivations.
Pseudo-almost periodic solutions for abstract partial functional differential equations
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this work we study the existence and uniqueness of pseudo-almost periodic solutions for a first-order abstract functional differential equation with a linear part dominated by a Hille-Yosida type operator with a non-dense ...
Algebraic Limit Cycles in Piecewise Linear Differential Systems
(World Scientific Publ Co Pte Ltd, 2018-03-01)
This paper is devoted to study the algebraic limit cycles of planar piecewise linear differential systems. In particular, we present examples exhibiting two explicit hyperbolic algebraic limit cycles, as well as some ...
Quantitative aspects of the generalized differential Lüroth's Theorem
(Academic Press Inc Elsevier Science, 2018-08-01)
Let F be a differential field of characteristic 0, t=t1,…,tm a finite set of differential indeterminates over F and G⊂F〈t〉 a differential field extension of F, generated by nonconstant rational functions α1,…,αn of total ...
Relative differential cohomology
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2017-09-27)
We briefly review the classical construction of the Cheeger-Simons characters, the Deligne cohomology groups and the differential K-theory groups, which are representatives of the absolute differential refinement of the ...
DIFFERENTIABILITY OF SOLUTIONS OF THE ABSTRACT CAUCHY PROBLEM
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
Phase portraits of abel quadratic differential systems of second kind with symmetries
(Dynamical Systems An International Journal, 2020)