EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A CLASS OF p-LAPLACIAN EQUATIONS
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The existence and uniqueness of T-periodic solutions for the following p-Laplacian equations:(∅p(x(,)))0 + a(t,x(,))+ g(t; x) = e(t), x(0) = x(T), x0(0) = x0(T)are investigated, where ∅p(x) = jujp¡2u with p > 1 and a 2 C1; e 2 C are T-periodic and g is continuous and T-periodic in t. By using coincidence degree theory, some existence and uniqueness results are obtained.
Abstract
The existence and uniqueness of T-periodic solutions for the following p-Laplacian equations:(∅p(x(,)))0 + a(t,x(,))+ g(t; x) = e(t), x(0) = x(T), x0(0) = x0(T)are investigated, where ∅p(x) = jujp¡2u with p > 1 and a 2 C1; e 2 C are T-periodic and g is continuous and T-periodic in t. By using coincidence degree theory, some existence and uniqueness results are obtained.
참고문헌 (10)
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