935 resultados para First and Second Order Directional Derivatives


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Pt. 5 issued by the subcommittee under its later name: Subcommittee on Reorganization, Research, and International Organizations.

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Hearings held Apr. 15-Aug. 13, 1970.

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Vols.2-4 (1876-78) annual, each volume consisting of 4 consecutively paged numbers. Vols.5-6 (1880-82) biennial, v.5 containing 4 consecutively paged numbers and v.6, 3 consecutively paged numbers

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Hearings held Mar. 25-June 25, 1970.

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We establish maximum principles for second order difference equations and apply them to obtain uniqueness for solutions of some boundary value problems.

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Let f : [0, 1] x R2 -> R be a function satisfying the Caxatheodory conditions and t(1 - t)e(t) epsilon L-1 (0, 1). Let a(i) epsilon R and xi(i) (0, 1) for i = 1,..., m - 2 where 0 < xi(1) < xi(2) < (...) < xi(m-2) < 1 - In this paper we study the existence of C[0, 1] solutions for the m-point boundary value problem [GRAPHICS] The proof of our main result is based on the Leray-Schauder continuation theorem.