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MULTIPLICATIVE EXTRAPOLATION METHOD FOR CONSTRUCTING HIGHER ORDER SCHEMES FOR ORDINARY DIFFERENTIAL EQUATIONS
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2007/12/11
In this paper, we develop a new teclinique called multiplicative extrapolation method which is used to construct higher order schemes for ordinary dtherential equations. We call it a new method becaus...
Oscillation of higher-order nonlinear delay differential equations with oscillatory coefficients
Neutral differential equations, positive and oscillating coefficients
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2010/2/25
A criterion is established on the bounded solutions of type higher-order nonlinear neutral differential equations of type oscillatory or tending to zero at infinity [a(t) [x(t)+r(t)x(k(t))]^{(n-1]' +p...
On Generalized Solution of a Class of Higher Order Operator-Differential Equations
Operator-differential equations Hilbert spaces existence of generalized solution
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2010/2/25
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is m...
NORMAL BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS OF HIGHER ORDER
BOUNDARY VALUE HIGHER ORDER DIFFERENTIAL EQUATIONS
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2010/3/17
In this work the arbitrary order differential operator expression of the form \imath (u) = \frac{\partial u (t)}{\partial tn}+Au(t), where A is a bounded normal operator in the Hilbert Space H is cons...