Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions.
Ein Beitrag zur Verzweigungstheorie.
Ein nichtlineares Schwingungsproblem mit gemischter linearer Randbedingung.
Elliptic perturbations for Hammerstein equations with singular nonlinear term.
Equations with discontinuous nonlinear semimonotone operators
The aim of this paper is to present an existence theorem for the operator equation of Hammerstein type with the discontinuous semimonotone operator . Then the result is used to prove the existence of solution of the equations of Urysohn type. Some examples in the theory of nonlinear equations in are given for illustration.
Equivalence of Volterra integral equations
Error estimate in the sinc collocation method for Volterra-Fredholm integral equations based on DE transformation.
Error evaluation of approximate solutions for sum-difference equations in two variables.
Evolution in a changing environment: existence of solutions
We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence and approximate solutions of nonlinear integral equations.
Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation
Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions. Finally, we give an example to illustrate our abstract results.
Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines.
Existence and uniqueness of mild solution for fractional integrodifferential equations.
Existence and uniqueness of mild solutions of second order Volterra integrodifferential equations with nonlocal conditions.
Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters
Existence of periodic solutions of functional differential equations with parameters such as Nicholson’s blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation , x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.
Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces.
Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces.
Existence and uniqueness of solutions to fractional semilinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions.
Existence and Uniqueness Theorems for a Nonlinear Integral Equation.