Positive solutions and oscillation of higher order neutral difference equations
Positive solutions for a system of nonlinear boundary-value problems on time scales.
Positive solutions for boundary value problems of second-order functional dynamic equations on time scales.
Positive solutions for multiparameter semipositone discrete boundary value problems via variational method.
Positive solutions for nonlinear difference equations involving the -Laplacian with sign changing nonlinearity.
Positive solutions for singular discrete boundary value problems.
Positive solutions of a singular positone and semipositone boundary value problems for fourth-order difference equations.
Positive solutions of a three-point boundary-value problem on a time scale.
Positive solutions of four-point boundary-value problems for four-order -Laplacian dynamic equations on time scales.
Positive solutions of functional difference equations with -Laplacian operator.
Positive solutions of nonlinear -point boundary-value problem for -Laplacian dynamic equations on time scales.
Positive solutions of second order nonlinear difference boundary value problems.
Positive solutions of two-point right focal eigenvalue problems on time scales.
Positive solutions to a generalized second-order three-point boundary-value problem on time scales.
Positive solutions to nonlinear second-order three-point boundary-value problems for difference equation with change of sign.
Potentials unbounded below.
Power series and zeroes of trinomial equations.
Power series and zeroes of trinomial equations. (Summary).
Poznámka o řadách arithmetických
Practical Ulam-Hyers-Rassias stability for nonlinear equations
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...