On a constructive approach for derivative-dependent singular boundary value problems
Summary: We present a constructive approach to establish existence and uniqueness of the solution of the singular boundary value problem \[ -(p(x)y'(x))' = q(x)f(x, y, py') for 0 < x \leq b, \] \[ y(0) = a, ~\alpha_1 y(b) + \beta_1 p(b)y'(b) = \gamma_1. \] Here, \(p(x) > 0\) on \((0, b)\) allowing \(p(0) = 0\). Further \(q(x)\) may be allowed to have integrable discontinuity at \(x = 0\), so the problem may be doubly singular.
scientific article; zbMATH DE number 6013175
scientific article