Stability analysis of fast numerical methods for Volterra integral equations.
Stability of periodic solutions of some integral equations.
Statistical convergence of subsequences of a given sequence
This paper is closely related to the paper of Harry I. Miller: Measure theoretical subsequence characterization of statistical convergence, Trans. Amer. Math. Soc. 347 (1995), 1811–1819 and contains a general investigation of statistical convergence of subsequences of an arbitrary sequence from the point of view of Lebesgue measure, Hausdorff dimensions and Baire’s categories.
Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives
In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory....
Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces.
Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line
This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.
Survival in a two-dimensional Lotka-Volterra system.
The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations.
The Asymptotic Behaviour of Solutions of Nonlinear Integral Equations.
The blow-up solutions of integral equations
The existance of nontrival solutions of Volterra equations.
The existence and exponential stability for random impulsive integrodifferential equations of neutral type.
The Existence of Nontrivial Solutions for a Class of Volterra Equations with Smooth Kernels.
The generalized Gronwall inequality and its application to periodic solutions of integrodifferential impulsive periodic system on Banach space.
The interval equation of the nonlinear Fredholm integral equation
The measure of non-compactness and approximation numbers of certain Volterra integral operators.
The monotone iterative technique for three-point second-order integrodifferential boundary value problems with -Laplacian.
The nonlocal bistable equation: Stationary solutions on a bounded interval.
Total stability in nonlinear discrete Volterra equations with unbounded delay.
Travelling fronts for multidimensional nonlinear transport equations