摘要

In this paper, the generalized Miranda theorem is applied for second-order systems of differential equations with one boundary condition given by Riemann-Stieltjes integral
x '' = f(t, x, x'), x(0) = 0, x' (1) = integral(1 x(s) dg(s),)(0)
where f : [0, 1] x R-k x R-k is continuous and g : [0, 1] -> R-k has bounded variation. Under suitable assumptions upon f and g we prove the existence of solutions to such posed problem.

  • 出版日期2018

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