Oscillation, convergence, and stability of linear delay differential equations
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DOI: 10.1016/j.jde.2021.05.021
Abstract: Abstract There is a close connection between stability and oscillation of delay differential equations. For the first-order equation x ′ ( t ) + c ( t ) x ( τ ( t ) )… read more here.
Keywords: differential equations; delay differential; equations oscillation; stability ... See more keywords
Oscillation Properties of Higher-Order Sublinear Differential Equations
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DOI: 10.1134/s0012266118120029
Abstract: For higher-order sublinear nonautonomous ordinary differential equations, necessary and sufficient conditions for the existence of properties A and B are obtained. In particular, we prove that if n is even, a > 0, and the… read more here.
Keywords: order sublinear; higher order; differential equations; equations oscillation ... See more keywords
On the oscillation of q-fractional difference equations
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DOI: 10.1186/s13662-017-1316-x
Abstract: AbstractIn this paper, sufficient conditions are established for the oscillation of solutions of q-fractional difference equations of the form {∇0αqx(t)+f1(t,x)=r(t)+f2(t,x),t>0,limt→0+qI0j−αx(t)=bj(j=1,2,…,m),$$ \left \{ \textstyle\begin{array}{l} {}_{q}\nabla_{0}^{\alpha}x(t)+f_{1}(t,x)=r(t)+f_{2}(t,x), \quad t>0 ,\\ \lim_{t \to0^{+}}{{}_{q}I_{0}^{j-\alpha}x(t)}=b_{j} \quad(j=1,2,\ldots,m), \end{array}\displaystyle \right . $$ where… read more here.
Keywords: difference equations; difference; equations oscillation; fractional difference ... See more keywords