Results 1 to 10 of about 418 (157)
Nonoscillatory Solutions for System of Neutral Dynamic Equations on Time Scales [PDF]
The Scientific World Journal, 2014 We will discuss nonoscillatory solutions to the n-dimensional functional system of neutral type dynamic equations on time scales. We will establish some sufficient conditions for nonoscillatory solutions with the property limt→∞xit=0, i=1, 2, …,n.
Zhanhe Chen +3 more
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On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument [PDF]
Advances in Difference Equations, 2008 The half-linear difference equations with the deviating argument Δ(an|Δxn|αsgn Δxn)+bn|xn+q|αsgn xn+q=0 , q ∈ ℤ are considered.
M. Marini +2 more
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Nonoscillatory solutions of the four-dimensional difference system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study asymptotic properties of nonoscillatory solutions for a four-dimensional system \[\begin{aligned} \Delta x_{n}&= C_{n}\, y_{n}^{\frac{1}{\gamma}} \\ \Delta y_{n}&= B_{n}\, z_{n}^{\frac{1}{\beta}} \\ \Delta z_{n}&= A_{n}\, w_{n}^{\frac{1}{\alpha}}
Zuzana Dosla, J. Krejčová
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Nonoscillatory solutions of nonlinear differential systems
Computers and Mathematics With Applications, 2003 Here, the system of \(n\) ordinary differential equations \[ \begin{aligned} x'_i&=a_i(t)f_i(x_{i+1}), \qquad\text{for }i=1,\dots,n-1, \\ x'_n&=-a_n(t)f_n(x_1) \end{aligned} \] is studied. The functions \(a_i(t)\) are supposed to be positive and continuous on \([t_0,\infty)\) for \(i=1,\dots,n\), and the functions \(f_i(u)\) are supposed to be ...
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Oscillatory and nonoscillatory solutions of multivalued differential inclusions
Computers and Mathematics With Applications, 2005 The paper concerns the existence of Carathéodory solutions to the ``scalar'' differential inclusion \(y'(t)\in F(t,y(t))\) subject to the constraints \(\alpha(t)\leq y(t)\leq\beta(t)\) (if \(\alpha\) and \(\beta\) are oscillatory functions, then so is \(y\)). The hypotheses must be added that \(\alpha\) and \(\beta\) are absolutely continuous (for the `
Mouffak Benchohra
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On nonoscillatory solutions of differential inclusions [PDF]
Proceedings of the American Mathematical Society, 2002 This paper introduces a nonoscillatory theory for differential inclusions based on fixed point theory for multivalued maps.
Agarwal, R.P., Grace, S.R., O'Regan, D.
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On a class of fourth-order nonlinear difference equations
Advances in Difference Equations, 2004 We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F−-solutions.
Migda Małgorzata +2 more
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Nonoscillatory Solutions to Second-Order Neutral Difference Equations [PDF]
Symmetry, 2018 We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation of the form: Δ ( r n Δ ( x n + p n x n − τ ) ) = a n f ( n , x n ) + b n . The obtained results are based on the discrete Bihari type lemma and a Stolz type lemma.
Malgorzata Migda, Janusz Migda
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Oscillatory solutions of Emden-Fowler type differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2021 The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden–Fowler differential equation.
Miroslav Bartusek +2 more
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On nonoscillatory solutions of a nonlinear differential equation [PDF]
Proceedings of the American Mathematical Society, 1972 Sufficient conditions are given which insure that all nonoscillatory solutions of (p(t)x')'+h(x)x'+q(t)g(x) =f (t) tend to zero as t tends to infinity. In this paper we examine the behavior of the nonoscillatory solutions of the equation (1) (p(t)x')' + h(x)x' + q(t)g(x) = f(t) where p, q, andf are real valued and continuous for t >0 and h and g are ...
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