... is divided into bands and the designation of the bands, their principal use and method of propagation is shown in Table 1.1. Waves of different frequencies behave differently and this, along with ... over the horizon, communication between fixed points at bands of ultra and super high frequencies. Usable bands are around 900, 2000 and 5000 MHz and path lengths of 300 to 500 km are typical. The ... ‘Short-wave’ bands. Long distance communications and short-wave broadcasting. Ionospheric sky wave. 30–300 MHz Very high frequency (VHF). Short range and mobile communications, television and FM broadcasting....
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... of α and β and r ≤ x ≤ 1/r. Therefore Theorem 5.4 implies the existence of a weak solution of 7.7 between α and β. Moreover, since f is positive between α and β the solution is increasing and, ... Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker, New York, NY, U SA, 1994. 12 R. P. Agarwal, D. Franco, and D. O’Regan, Singular boundary value problems for first and second order ... Agarwal and D. O’Regan, “A survey of recent results for initial and boundary value problems singular in the dependent variable,” in Handbook of Differential Equations, pp. 1–68, Elsevier/North- Holland,...
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báo cáo hóa học:" Research Article Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales" pptx
... 2.2 2 Boundary Value Problems nonlinearity w may have singularity at t a and/ or t b, and f may have singularity at u 0. To understand the notations used in 1.1, we recall the following ... Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales Liang-Gen Hu, 1 Ti-Jun Xiao, 2 and Jin Liang 3 1 Department of Mathematics, University of Science and Technology ... ζ i <μξ i , r< and ζ i ≥ κSρ i /κ − r, i 1, 2, ,msuch that iii f ξ i μξ i >Rand f ζ i ρ i <r; iv ft, ψt − c/ut <r, for all t ∈ Y 1 and u ∈ ρ i ,ζ i . If (C1), (C2), and (C3)...
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