Resonance and Multiplicity in Periodic Boundary Value Problems with Singularity
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چکیده
The paper deals with the boundary value problem u ′′ + k u = g(u) + e(t), u(0) = u(2 ), u(0) = u(2 ), where k ∈ , g : (0,∞) 7→ is continuous, e ∈ [0, 2 ] and lim x→0+ 1 x g(s) ds = ∞. In particular, the existence and multiplicity results are obtained by using the method of lower and upper functions which are constructed as solutions of related auxiliary linear problems.
منابع مشابه
Resonance and Multiplicity in Periodic Boundary Value Problems with Singularity
The paper deals with the boundary value problem u ′′ + k u = g(u) + e(t), u(0) = u(2 ), u(0) = u(2 ), where k ∈ , g : (0,∞) 7→ is continuous, e ∈ [0, 2 ] and lim x→0+ 1 x g(s) ds = ∞. In particular, the existence and multiplicity results are obtained by using the method of lower and upper functions which are constructed as solutions of related auxiliary linear problems.
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تاریخ انتشار 2001