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Invariants of binary differential equations
(SPRINGER/PLENUM PUBLISHERS, 2009)
In this paper, we study binary differential equations a(x, y)dy (2) + 2b(x, y) dx dy + c(x, y)dx (2) = 0, where a, b, and c are real analytic functions. Following the geometric approach of Bruce and Tari in their work on ...
Equações diferenciais parciais: aplicações da equação do calor
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2019-11-20)
This research deals with a study about the Partial Differential Equations (PDE's) focusing on the Heat Equation and its different contour conditions. Through a bibliographic research will be presented de finitions, ...
A collocation method for solving singular integro-differential equations
(SPRINGER, 2010)
This paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into ...
Numerical Solution for Fuzzy Partial Differential Equations with Interactive Fuzzy Boundary Conditions
(2022-01-01)
This paper presents a numerical method to solve fuzzy partial differential equations, where the initial and boundary conditions are given by interactive fuzzy numbers. Interactivity is a relationship between fuzzy numbers ...
Lipschitz stability of generalized ordinary differential equations and impulsive retarded differential equations
(2019-01-01)
We consider a class of retarded functional differential equations with preas-signed moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary ...
Existence Results for Abstract Partial Neutral Integro-differential Equation with Unbounded Delay
(UNIV SZEGED, BOLYAI INSTITUTE, 2009)
In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.
Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
(University of Szeged, 2014)
Abstract. In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of ...
Rational first integrals of the liénard equations: The solution to the poincaré problem for the liénard equations
(2021-01-01)
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of ...
EXISTENCE OF PERIODIC SOLUTIONS OF NEUTRAL FUNCTION AL DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY
(Universidad Católica del Norte, Departamento de Matemáticas, 2000)
Continuous dependence on parameters
(2021-01-01)
This chapter aims to investigate the results on continuous dependence on parameters for generalized ordinary differential equations (ODEs) taking values in a Banach space. It includes a new result on the convergence of ...