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DIFFERENTIABILITY OF SOLUTIONS OF THE ABSTRACT CAUCHY PROBLEM
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
DIFFERENTIABILITY OF SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)
On the Polynomial Solutions of the Polynomial Differential Equations y y ' = a(0)(x) plus a(1)(x) y plus a(2)(x) y(2) + horizontal ellipsis plus a(n)(x) y(n)
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number ...
On the Boundedness of Solutions of Discontinuous Differential Equations
(Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, 2021-09-06)
By using the notion of Carathéodory solution to differential equations, the present work studies the boundedness of solutions of discontinuous differential equations. For these discontinuous systems determined by discontinuous ...
Global Solutions for Abstract Differential Equations with Non-Instantaneous Impulses
(Springer, 2016-08-01)
In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence ...
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 ...
Existence results for a damped second order abstract functional differential equation with impulses
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this work we study the existence and regularity of mild solutions for a damped second order abstract functional differential equation with impulses. The results are obtained using the cosine function theory and fixed ...
Existence and uniqueness of solution for abstract differential equations with state-dependent delayed impulses
(Springer, 2019-03-01)
We study the existence and uniqueness of mild and classical solutions for a general class of abstract impulsive differential equations with state-dependent impulses. Some examples on partial differential equations are presented.
On C-alpha-Holder classical solutions for non-autonomous neutral differential equations: The nonlinear case
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2014)
EXISTENCE RESULTS FOR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
(ROCKY MT MATH CONSORTIUM, 2011)
In this paper we discuss the existence of mild, strict and classical solutions for a class of abstract integro-differential equations in Banach spaces. Some applications to ordinary and partial integro-differential equations ...