Titlebook: Infinite Interval Problems for Differential, Difference and Integral Equations; Ravi P. Agarwal,Donal O’Regan Book 2001 Springer Science+B

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iratory patients. Especially, some of them become so serious that they must stay in Intensive Care Unit during a long time. It causes the overload status in order to take care all patients at the same time. Therefore, the better treatment by using the mechanical ventilator in the initial stage could

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Second Order Boundary Value Problems,e to establish existence of solutions to boundary value problems on infinite intervals. The first approach is based on a diagonalization process whereas the second is based on the Furi-Pera fixed point theorem. Both approaches will be presented in this chapter. In Section 1.2 we list several example

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Continuous Systems,× ℝ.. Let .[0,∞) be the space of all bounded, continuous .-vector valued functions and let . be a bounded linear operator mapping .[0, ∞) (or a subspace of .[0, ∞)) into ℝ.. In this chapter we mainly study the differential system (3.1.1) subject to the boundary conditions . In Section 3.2 we conside

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Equations on Time Scales,nt as well as on a upper and lower solution idea. We recall that a .. is an arbitrary nonempty closed subset of the real numbers ℝ. The forward (respectively, backward) jump operator at t for t < sup . (respectively, for . > inf .) is defined by .for all . ∈ .. Let . : . → ℝ and let . ∈ ..

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