On the existence and uniqueness of solution of the Cauchy problem for a class of linear integro-differential equations
On the existence and uniqueness of solutions of a certain integral-functional equation
On the existence of a fuzzy integral equation of Urysohn-Volterra type
We present an existence theorem for integral equations of Urysohn-Volterra type involving fuzzy set valued mappings. A fixed point theorem due to Schauder is the main tool in our analysis.
On the Existence of a Solution of a Singular Boundary Value Problem
On the existence of bounded continuous solution of Hammerstein integral equation
On the existence of classical solutions for differential-functional IBVP.
On the existence of continuous solutions of operator equations in Banach spaces
On the existence of exactly one solution of integral equations in the space with a mixed norm
On the existence of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional order.
On the existence of positive solutions for nonlinear two-point boundary-value problems.
On the existence of solutions for Volterra integral inclusions in Banach spaces.
On the existence of solutions of an integro-differential equation in Banach spaces
On the existence of solutions of nonlinear integral equations in Banach spaces and Henstock-Kurzweil integrals
We prove some existence theorems for nonlinear integral equations of the Urysohn type and Volterra type , , where f and φ are functions with values in Banach spaces. Our fundamental tools are: measures of noncompactness and properties of the Henstock-Kurzweil integral.
On the existence of solutions to some nonlinear integrodifferential equations with delays.
On the existence of weak solutions of integral equations in Banach spaces
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
On the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane's stochastic integral equations.
In this paper we use the Schauder fixed point theorem and methods of integral inequalities in order to prove a result on the existence, uniqueness and parametric dependence on the coefficients of the solution processes in McShane stochastic integral equations.
On the exponential convergence to a limit of solutions of perturbed linear Volterra equations.
On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms
We deal with several classes of integral transformations of the form where is an operator. In case is the identity operator, we obtain several operator properties on with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on and define the inversion formula. Further, for an other class of differential operators of finite...
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms.