Results 11 to 20 of about 2,013,353 (284)
Ergodic type solutions of differential equations with piecewise constant arguments [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We summarize the conditions discovered for the existence of new ergodic type solutions (asymptotically almost periodic, pseudo almost periodic, ...) of differential equations with piecewise constant arguments.
Ana Isabel Alonso, Jialin Hong
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Almost periodic solutions of $N$-th order neutral differential difference equations with piecewise constant arguments [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
Rong-Kun Zhuang
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On approximation of the solutions of delay differential equations by using piecewise constant arguments [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA).
Istevan Györi
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments [PDF]
Abstract and Applied Analysis, 2012 We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments.
Juan J. Nieto, Rosana Rodríguez-López
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On a second order differential equation with piecewise constant mixed arguments [PDF]
Carpathian Journal of Mathematics, 2011 We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments and we show that the zero solution of Eq. (1.1) is a global attractor. Also, we study some properties of solutions of Eq. (1.1) such as oscillation, nonoscillation, and periodicity.
Bereketoglu, H., Seyhan, G., Karakoc, F.
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Abstract and Applied Analysis, 2012 We present some conditions for the existence and uniqueness of almost periodic solutions of 𝑁th-order neutral differential equations with piecewise constant arguments of the form (𝑥(𝑡)+𝑝𝑥(𝑡−1))(𝑁)=𝑞𝑥([𝑡])+𝑓(𝑡), here [⋅] is the greatest integer function ...
Rong-Kun Zhuang
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On a logistic equation with piecewise constant arguments
Differential and Integral Equations, 1991 Let [·] denote the greatest-integer function and consider the logistic equation with piecewise constant arguments (*) where r ∈ (0, ∞) and ao, a1, · · ·, am ∈ [0, ∞) Σmj=0 aj \u3e 0 and r+m ≠ 1.
Gopalsamy, K. +2 more
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OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 In this work, we investigate the oscillation and nonoscillation of a class of second order neutral di erential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest ...
A. K. TRIPATHY, R. R. MOHANTA
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
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Electronic Journal of Differential Equations, 2015 This work concerns the existence of almost periodic solutions for certain differential equations with piecewise constant arguments. The coefficients of these equations are almost periodic and the equation can be seen as perturbations of a linear ...
Samuel Castillo, Manuel Pinto
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