Results 111 to 120 of about 11,835 (134)

Positive solutions of boundary value problems for ordinary differential equations with impulse

1998
Using a fixed point theorem for a completely continuous operator in a Banach space with a cone due to \textit{M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen, P. Noordhoff (1964; Zbl 0121.10604)], the authors determine some values of the parameter \(\lambda\) for which there exists at least one positive solution to the ...
Eloe, Paul W., Henderson, Johnny
openaire   +1 more source

Applications of Impulsive Differential Equations to the Control of Malaria Outbreaks and Introduction to Impulse Extension Equations: a General Framework to Study the Validity of Ordinary Differential Equation Models with Discontinuities in State

2014
Impulsive differential equations are often used in mathematical modelling to simplify complicated hybrid models. We propose an inverse framework inspired by impulsive differential equations, called impulse extension equations, which can be used as a tool to determine when these impulsive models are accurate.
openaire   +2 more sources

Monotone and quadratic convergence of approximate solutions of ordinary differential equations with impulse

1998
The authors extend the method of quasilinearization to the two-point boundary value problem for second-order impulsive differential equations \[ x{''}(t)=f(t,x(t)), \quad t_k < t < t_{k+1}, \;k = 0,\dots,m, \tag{1} \] \[ x(0) = a, \quad x(1) = b, \tag{2} \] \[ \Delta x(t_k) = u_k, \quad k = 1,\dots,m, \tag{3} \] \[ \Delta x^{'}(t_k) = v_k (x(t_k ...
Doddaballapur, Vidya, Eloe, Paul W.
openaire   +1 more source

Structural identification with physics-informed neural ordinary differential equations

Journal of Sound and Vibration, 2021
Zhilu Lai, Charilaos Mylonas, Satish Nagarajaiah   +2 more
exaly  

Jafari Transformation for Solving a System of Ordinary Differential Equations with Medical Application

Fractal and Fractional, 2021
Ahmed I El-Mesady, Y S Hamed, Abdullah M Alsharif   +2 more
exaly  

Artificial neural networks for solving ordinary and partial differential equations

IEEE Transactions on Neural Networks, 1998
Di Fotiadis
exaly  

Approximate Solutions to Ordinary Differential Equations Using Least Squares Support Vector Machines

IEEE Transactions on Neural Networks and Learning Systems, 2012
Siamak Mehrkanoon, Johan A K Suykens
exaly  

Invariant analysis of nonlinear fractional ordinary differential equations with Riemann–Liouville fractional derivative

Nonlinear Dynamics, 2015
R Sahadevan
exaly  

Ulam’s type stability of impulsive ordinary differential equations

Journal of Mathematical Analysis and Applications, 2012
JinRong Wang, Yong Zhou
exaly  

Lie symmetry analysis and exact solution of certain fractional ordinary differential equations

Nonlinear Dynamics, 2017
P Prakash, R Sahadevan
exaly