A limit point criterion with applications to nonselfadjoint equations

Limit - Point / Limit - Circle Results for Equations with Damping

and Applied Analysis 3 and let constant δ be given by

Limit Circle/Limit Point Criteria for Second-Order Superlinear Differential Equations with a Damping Term

A New Strategy for Training RBF Network with Applications to Nonlinear Integral Equations

A new learning strategy is proposed for training of radial basis functions (RBF) network. We apply two different local optimization methods to update the output weights in training process, the gradient method and a combination of the gradient and Newton methods. Numerical results obtained in solving nonlinear integral equations show the excellent performance of the combined gradient method in ...

Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term

and Applied Analysis 3 2. Main Results To simplify notations, let α 1/2 k 1 and β 2k 1 /2 k 1 . We define

Applications of Schauder’s Fixed Point Theorem to Singular Differential Equations

In this paper, we study the existence of positive periodic solutions to second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results show that in some situations weak singularities can help create periodic solutions, as pointed out by Torres [J. Differential Equations 232 (2007) 277–284].