【摘 要】
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In this paper, we study the existence of nodal solutions for the following problem:-(φ_p(x′))′= α(t)φ_p(x~+) + β(t)φ_p(x~-) + ra(t)f(x), 0 < t < 1,x(0) =
【机 构】
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DepartmentofBasicCourses
【基金项目】
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Supported by the National Natural Science Foundation of China (Grant No. 11561038) and the Natural Science Foundation of Gausu Province (Grant No. 145RJZA087).
论文部分内容阅读
In this paper, we study the existence of nodal solutions for the following problem:-(φ_p(x′))′= α(t)φ_p(x~+) + β(t)φ_p(x~-) + ra(t)f(x), 0 < t < 1,x(0) = x(1) = 0,where φ_p(s) = |s|~(p-2)s, a ∈ C([0, 1],(0, ∞)), x~+= max{x, 0}, x~-=- min{x, 0}, α(t)
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