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Existence and Uniqueness Theorems for Certain Forth-order Boundary Value Problems

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주제분류수학

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Abstract

In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear dierential equations.

참고문헌 (6)

  1. "Existence and uniqueness theorems for fourth-order boundary valueproblems", 116 (1986)
  2. "A remark on some existence and uniqueness theoremsfor a fourth order boundary value problem", 55 (1994)
  3. "Existence and uniqueness theorems for the bending of an elastic beamequation", 26 (1988)
  4. "Existence and uniqueness theorems for some fourth order fully quasilinearboundary value problems", 36 (1990)
  5. "Existence and uniqueness theorems of solutions for a classof fourth-order boundary value problems", 41, pp.2~ (2001)
  6. "A uniqueness theorem for a boundary value problem", 77 (1979)

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