Results 191 to 200 of about 68,318,938 (234)

Mathematical modeling in autoimmune diseases: from theory to clinical application. [PDF]

open access: yesFront Immunol
Ugolkov Y   +6 more
europepmc   +1 more source

Ammonia production by microbubbles: A theoretical analysis of achievable energy intensity. [PDF]

open access: yesUltrason Sonochem
Kubicsek F   +6 more
europepmc   +1 more source

Oscillations of Second-Order Nonlinear Ordinary Differential Equations with Impulses

open access: yesJournal of Mathematical Analysis and Applications, 1999
Here, the second-order nonlinear differential equation with impulses of the form \[ \begin{aligned} &[r(t)x'(t)]'+f(t,x(t))=0,\quad t\geq t_0,\;t\neq t_k,\;k=1,2,\dots ,\\ &x(t_k^{+})=g_k(x(t_k)),\;x'(t_k^{+})=h_k(x'(t_k)),\;\;k=1,2,\dots ,\\ &x(t_0^{+})=x_0,\;\;x'(t_0^{+})=x'_0, \end{aligned} \] with \(0\leq ...
Jiaowan Luo, Lokenath Debnath
exaly   +7 more sources

Positive Periodic Solutions for a First Order Singular Ordinary Differential Equation Generated by Impulses

open access: yesQualitative Theory of Dynamical Systems, 2017
This paper is devoted to the solvability of the following singular boundary value problem with impulsive effects \[ x'(t)=-g(x(t))+e(t), \] \[ \Delta x(t_k)=x(t^+_k)-x(t^-_k)=I_k(x(t_k)),\, k=1,\dots,q, \] \[ x(0)=x(T),\, T>0, \] where \(g:(0,\infty)\to(0,\infty)\) is a continuous and bijective function such that \(\lim_{t\to 0^+}g(t)=+\infty\) and ...
Juan J Nieto
exaly   +3 more sources
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Numerical solution of ordinary differential equations with impulse solution

Applied Mathematics and Computation, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M M Hosseini
exaly   +4 more sources

Ulam’s type stability of impulsive ordinary differential equations

open access: yesJournal of Mathematical Analysis and Applications, 2012
The authors consider the following impulsive differential equations \[ x'(t)= f(t,x(t)),\quad t\in J':= J\setminus\{t_1,\dotsc, t_m\},\quad J:= [0,T],\;T> 0, \] \[ \Delta x(t_k)= I_k(x(t^-_k)),\quad k= 1,2,\dotsc, m, \] where \(f: J\times\mathbb{R}\to \mathbb{R}\) is continuous, \(I_k: \mathbb{R}\to \mathbb{R}\), \(T< \infty\), and \[ x(t^+_k)= \lim_ ...
Yong Zhou, Jinrong Wang, Michal Fec˘Kan
exaly   +3 more sources

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