The existence and uniqueness of solution of Duffing equations with non- perturbation functional at nonresonance.
The existence of a solution of a nonlinear boundary value problem
The existence of multiple positive solutions of -Laplacian boundary value problems
The existence of periodic solutions for a class of nonlinear functional differential equations
This paper is concerned with periodic solutions of first-order nonlinear functional differential equations with deviating arguments. Some new sufficient conditions for the existence of periodic solutions are obtained. The paper extends and improves some well-known results.
The extended Adomian decomposition method for fourth order boundary value problems.
The first kind periodic solutions of differential equations of the second order
The generalized approximation method and nonlinear heat transfer equations.
The generalized coincidence index --- application to a boundary value problem
The generalized method of quasilinearization and nonlinear boundary value problems with integral boundary conditions.
The interaction of linear boundary value and nonlinear functional conditions
The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions
The Lazer-McKenna conjecture for radial solutions in the ball.
The lower bound of number of solutions for the second order nonlinear boundary value problem via the root functions method
The mesh chopping algorithm for singularly perturbed boundary value problem.
The method of lower and upper solutions for th-order periodic boundary value problems.
The method of lower and upper solutions for some fourth-order equations.
The method of quasi-linearization for resolution a nonlocal nonlinear boundary problem.
The method of subsuper solutions for weighted -Laplacian equation boundary value problems.
The method of upper and lower solutions for a Lidstone boundary value problem
In this paper we develop the monotone method in the presence of upper and lower solutions for the nd order Lidstone boundary value problem where is continuous. We obtain sufficient conditions on to guarantee the existence of solutions between a lower solution and an upper solution for the higher order boundary value problem.
The method of upper and lower solutions for second-order non-homogeneous two-point boundary-value problem.
The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations
In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.