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Solvability of (k,n - k) Conjugate Boundary Value Problems with Integral Boundary Conditions at Resonance
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نویسنده
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sun q. ,cui y.
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منبع
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journal of function spaces - 2016 - دوره : 2016 - شماره : 0
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چکیده
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We investigate a (k,n - k) conjugate boundary value problem with integral boundary conditions. by using mawhin continuation theorem,we study the solvability of this boundary value problem at resonance. it is shown that the boundary value problem (- 1) n - k φ (n) (x) = f x,φ x,φ ′ x,.,φ (n - 1) (x),x ∫ [ 0,1 ],φ (i) (0) = φ (j) (1) = 0,1 ≤ i ≤ k - 1,0 ≤ j ≤ n - k - 1,φ (0) = ∫ 0 1 φ (x) d a (x) has at least one solution under some suitable conditions. © 2016 qiao sun and yujun cui.
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آدرس
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department of mathematics,shandong university of science and technology,qingdao, China, state key laboratory of mining disaster prevention and control co-founded by shandong province,ministry of science and technology,shandong university of science and technology,qingdao, China
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Authors
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