کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7221846 1470384 2019 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some results on the existence and multiplicity of Dirichlet type solutions for a singular equation coming from a Kepler problem on the sphere
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Some results on the existence and multiplicity of Dirichlet type solutions for a singular equation coming from a Kepler problem on the sphere
چکیده انگلیسی
We study the Dirichlet boundary value problem u′′=h(t)sin2u,u(0+)=c1,u(T−)=c2,where c1,c2∈[0,π] and h:[0,T]→R is a Lebesgue integrable function. The forcing term under consideration is the product of a nonlinearity which is singular at two points with a weight function h. We prove that the corresponding singular boundary value problem is solvable only if the weight function does not change its sign. Therefore, our main result is stated under this setting: supposing that h:[0,T]→[0,+∞), the existence and multiplicity of solutions to the aforementioned problem is guaranteed if and only if h¯ is small enough.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 45, February 2019, Pages 357-375
نویسندگان
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