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Minimal heteroclinics for a class of fourth order ODE systems
(Elsevier, 2018-08)
We prove the existence of minimal heteroclinic orbits for a class of fourth order O.D.E. systems with variational structure. In our general set-up, the set of equilibria of these systems is a union of manifolds, and the ...
Nonlinear systems of second-order odes
(SPRINGER INTERNATIONAL PUBLISHING AG, 2008)
Existence of periodic orbits in nonlinear oscillators of Emden–Fowler form
(Elsevier Science BV, 2016)
Stability and applications of multi-order fractional systems
(Amer Inst MathematicaL Sciences-Aims, 2021)
This paper establishes conditions for global/local robust asymptotic
stability for a class of multi-order nonlinear fractional systems consisting
of a linear part plus a global/local Lipschitz nonlinear term. The ...
Initial values for Riccati ODEs from variational PDEs
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2011-02)
The recently discovered variational PDEs (partial differential equations) for finding missing boundary conditions in Hamilton equations of optimal control are applied to the extended-space transformation of time-variant ...
Mathematical models and simulations of different scenarios of COVID-19 in Brazil
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2023)
Nonlinear systems of second-order odesBOUNDARY VALUE PROBLEMS
(SPRINGER INTERNATIONAL PUBLISHING AG, 2016)
A note on a system with radiation boundary conditions with non-symmetric linearisation
(Springer Wien, 2018-08)
We prove the existence of multiple solutions for a second order ODE system under radiation boundary conditions. The proof is based on the degree computation of I- K, where K is an appropriate fixed point operator. Under a ...
Superlinear systems of second-order odesNONLINEAR ANALYSIS
(PERGAMON-ELSEVIER SCIENCE LTD, 2016)