By using upper and lower solutions method and coincidence degree theory,the existence of solutions for a second-order implicit differential equation with periodic boundary value problems x"(t) =f(t,x(t),x"(t)),t ∈ [0,2π],x(0) =x(2π),x'(0) =x'(2π)is discussed,where f:[0,2r] × R2 → R is continuous.An existence result that there is at least one solution is obtained.The effectiveness of the result is proved by using an example.
implicit differential equationsperiodic boundary value problemlower and upper solutionscoincidence degreeexistence
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