Solutions Of Some Parabolic Integro-Differential Equations By Means Of The Algebraic Operational Calculus Of Distributions
Solutions to integro-differential parabolic problems arising in the pricing of financial options in a Lev́y market.
Solvability and the number of solutions of Hammerstein equations.
Solvability of a recursive functional equation in the sequence Banach space.
Solvability of an Infinite System of Singular Integral Equations
2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders.
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Solvability of nonlinear Hammerstein quadratic integral equations.
Solvability of quasilinear elliptic equations with strong dependence on the gradient.
Solvability of some integral equations in Hilbert spaces.
Solving dual integral equations on Lebesgue spaces
We study dual integral equations associated with Hankel transforms, that is, dual integral equations of Titchmarsh’s type. We reformulate these equations giving a better description in terms of continuous operators on spaces, and we solve them in these spaces. The solution is given both as an operator described in terms of integrals and as a series which converges in the -norm and almost everywhere, where denotes the Bessel function of order ν. Finally, we study the uniqueness of the solution....
Solving of Volterra's linear integral equations
Solving some nonlinear equations by successive approximations.
Solving the Abel integral equation by interpolation methods
Some Estimates of the Remainder in the Expressions for the Eigenvalue Asymptotics of Some Singular Integral Operators
Some existence theorems for nonlinear equations of Hammerstein type (Preliminary communication)
Some fixed point theorems and existence of weak solutions of Volterra integral equation under Henstock-Kurzweil-Pettis integrability
In this paper we examine the set of weakly continuous solutions for a Volterra integral equation in Henstock-Kurzweil-Pettis integrability settings. Our result extends those obtained in several kinds of integrability settings. Besides, we prove some new fixed point theorems for function spaces relative to the weak topology which are basic in our considerations and comprise the theory of differential and integral equations in Banach spaces.
Some fixed point theorems in locally convex spaces and applications to differential and integral equations
Some fixed point theorems on ordered metric spaces and application.
Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition
We consider nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.
Some limit properties of the best determined terms method