Existence of almost periodic solutions of systems of linear and quasilinear differential equations with time lag
Existence of approximate solution to abstract nonlocal Cauchy problem.
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Existence of positive pseudo-symmetric solutions for one-dimensional -Laplacian boundary-value problems.
Existence of positive solutions for boundary value problems of second-order nonlinear differential equations on the half line.
Existence of positive solutions to some impulsive second-order integrodifferential equations.
Existence of solutions for a fourth-order boundary-value problem.
Existence results of three-point boundary value problems for second-order ordinary differential equations.
Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments
Functional differential equations
The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.
Further generalization of generalized quasilinearization method.
Generalizations and error analysis of the iterative operator splitting method
The properties of iterative splitting with two bounded linear operators have been analyzed by Faragó et al. For more than two operators, iterative splitting can be defined in many different ways. A large class of the possible extensions to this case is presented in this paper and the order of accuracy of these methods are examined. A separate section is devoted to the discussion of two of these methods to illustrate how this class of possible methods can be classified with respect to the order of...
Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
Generalized quasilinearization method for nonlinear boundary value problems with integral boundary conditions.
Globally convergent differential procedures for solving nonlinear systems of equations
Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being...
He's variational iteration method for solving fractional Riccati differential equation.
Higher-order approximate periodic solutions of a nonlinear oscillator with discontinuity by variational approach.
Infinitely many solutions of a second-order -Laplacian problem with impulsive condition
Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a -Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the -Laplacian impulsive problem.
Iterative solutions of singular boundary value problems of third-order differential equation.