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An iterative method for a second order problem with nonlinear two-point boundary conditions.
(2012-11-08)
A semi-linear second order ODE under a nonlinear two-point boundary condition is considered.
Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional
shooting argument which allows ...
A note on the continuability of solutions of a perturbed second order nonlinear differential equation of lienard type
(International Journal of Mathematics and its Applications, 2015-04)
In this note we study the continuability of the solutions of a Liénard type equation with forcing term under suitable assumptions.
An iterative method for a second order problem with nonlinear two-point boundary conditions
(Corporación Escuela Regional de Matemáticas ERM, 2011-12)
A semi-linear second order ODE under a nonlinear two-point boundary condition is considered. Under appropriate conditions on the nonlinear term of the equation, we define a two-dimensional shooting argument which allows ...
Fractional Order Sliding Mode Control of a Class of Second Order Perturbed Nonlinear Systems: Application to the Trajectory Tracking of a Quadrotor
(2018)
A Fractional Order Sliding Mode Control (FOSMC) is proposed in this paper for an integer second order nonlinear system with an unknown additive perturbation term. A sufficient condition is given to assure the attractiveness ...
Strongly nonlinear second-order ODEs with rapidly growing terms
(ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS, 1996)
Generalized expressions of second and third order for the evaluation of standard measurement uncertainty
(2011)
The Guide to the Expression of Uncertainty in Measurement (GUM) requires the use of a
first-order Taylor series expansion for propagating uncertainties. However, when the mea-surement function is strongly non-linear the ...
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
(2019-09-05)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. In order to get our ...