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Nonoscillatory solutions for system of neutral delay equation
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors consider the following system of neutral differential equations \[ {d\over dt} (x(t)+ px(t- \tau))+ Q(t) x(t-\sigma)= 0,\tag{1} \] where \(p\in\mathbb{R}\), \(x\in\mathbb{R}^n\) and \(\tau\in (0,\infty)\), \(\sigma\in [0,\infty)\), \(Q\) is a continuous \(n\times n\)-matrix on \([t_0,\infty)\).
El-Metwally, H. +2 more
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On nonoscillatory solutions of differential equations with \(p\)-Laplacian
2001The paper is concerned with some boundary value problems associated to the nonlinear differential equation of the form \[ (a(t)\Phi_p(x'))'=b(t)f(x) \] with \(\Phi_p(u)=|u|^{p-2}u\), \(p>1\). All continuable solutions to the equations considered are classified into disjoint subsets which are fully characterized in terms of certain integral conditions.
M. CECCHI, Z. DOSLA, MARINI, MAURO
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Nonoscillatory Solutions of Third-Order Difference Equations
2005Zuzana Dosla, Ales Kobza
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