A computational investigation of an integro-differential inequality with periodic potential.
A formal series solution of the one-dimensional Schrödinger equation
A general Hilbert space approach to framelets.
A monotone iterative method for boundary value problems of parametric differential equations.
A new approach to solve systems of second order non-linear ordinary differential equations.
A note on nonlinear ordinary differential equations containing derivates of the delta function.
A note on rapid convergence of approximate solutions for second order periodic boundary value problems
In this paper, we develop a generalized quasilinearization technique for a nonlinear second order periodic boundary value problem and obtain a sequence of approximate solutions converging uniformly and quadratically to a solution of the problem. Then we improve the convergence of the sequence of approximate solutions by establishing the convergence of order
A Picard method without Lipschitz continuity for some ordinary differential equations
A refinement of quasilinearization method for Caputo's sense fractional-order differential equations.
A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation.
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices.
An application of the antimaximum principle for a fourth order periodic problem.
An approximation property for abstract differential equations
An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
An extension of the method of quasilinearization
The method of quasilinearization is a well–known technique for obtaining approximate solutions of nonlinear differential equations. This method has recently been generalized and extended using less restrictive assumptions so as to apply to a larger class of differential equations. In this paper, we use this technique to nonlinear differential problems.
An overview of the lower and upper solutions method with nonlinear boundary value conditions.
Analysis for a molten carbonate fuel cell.
Application of Lakshmikantham's monotone-iterative technique to the solution of the initial value problem for impulsive integro-differential equations.
Approssimabilità degli zeri di una funzione mediante gli zeri di una sua espressione asintotica. Applicazione alle soluzioni delle equazioni differenziali lineari del secondo ordine
Approximate solution of an inhomogeneous abstract differential equation
Recently, we have developed the necessary and sufficient conditions under which a rational function approximates the semigroup of operators generated by an infinitesimal operator . The present paper extends these results to an inhomogeneous equation .