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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 ...
A family of singular ordinary differential equations of the third order with an integral boundary condition
(Springer, 2018-12)
We establish in this paper the equivalence between a Volterra integral equation of the second kind and a singular ordinary differential equation of the third order with two initial conditions and an integral boundary ...
Analysis of third order linear analytic differential equations with a regular singularity: bessel and other classical equations
(International Press, Inc.PE, 2021-10-06)
We study third order linear differential equations with analytic coefficients under the viewpoint of explicitly constructing solutions and studying their convergence. We consider both homogeneous and non-homogeneous cases. ...
Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity
(American Institute of Mathematical Sciences, 2018-10)
TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation ...
On pairs of polynomial planar foliations
(Juliusz Schauder Ctr Nonlinear StudiesTorunPolónia, 2007)
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 ...
Soluciones positivas para problemas elípticos sublineales y singulares
(2018-03)
En esta tesis se estudiaron tres problemas relacionados a ecuaciones de reacción difusión elípticas sublineales y singulares cuando el término de reacción cambia de signo. En primer lugar se trató la existencia y no ...