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Xu and Xu in [11] investigated the p-Laplacian equation for sign changing equations of the form begin{aligned} &bigl phi_{p}bigl z' tau bigr) bigr)' = -fbigl tau,z,z'bigr), quad tauin 0,1), &z(0) = 0=z(1), end{aligned} (2) using the method of upper and lower solution method with the help of Leray-Schauder degree theory.
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These investments are a reflection of the slowly changing economic equation of globalization.
Mr. Obama has said his now-aborted military strike was aimed only at punishing Mr. Assad for an Aug. 21 chemical attack that the United States says killed more than 1,400 people and deterring future attacks — not at changing the equation of a civil war that has killed more than 120,000 people.
But the first step is awareness and changing our equation of sleep-deprivation and success.
Changes of flow patterns are reflected by assigning certain terms to zeros in the general equations and changing the number of equations.
Mr. Schwab views the spread of Web logs as more evidence of the changing power equation.
"I think more and more members have been sensitized by people in our own districts and neigborhoods who are afflicted," said Representative John Lewis, a Georgia Democrat who is in some ways a symbol of the changing political equation on AIDS.
Obama also gave a shout out to Subra Suresh, marking his first day as director of the National Science Foundation; plugged the Administration's spending on STEM education; and highlighted a private-sector initiative, called Changing the Equation, in which hundreds of companies and organizations are adding their dollars to public investments in science education.
A shortage of workers is changing the equation that many restaurants have long relied on.
This combination of the falling economic costs of action and the rising political costs of inaction was already changing the core equation of which the fossil fuel industries have counted for comfort.
After finding an analytic or approximate solution of equation (2), we can obtain the exact or approximate solution of equation (1) by changing the terms of Taylor series expansion for the solution of differential equation (2) in such a way that the relationship among the terms of Taylor series expansion in the sense of derivative and fractional derivative with respect to time remains the same.
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