Solvability of a second order boundary value problem on an unbounded domain.
Solvability of a three-point nonlinear boundary-value problem.
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 boundary value problems for operator-differential equations of mixed type.
Solvability of linear and semilinear eigenvalue problems with data
Solvability of Neumann boundary-value problems with Caratheodory nonlinearities.
Solvability of nonautonomous fractional integrodifferential equations with infinite delay.
Solvability of nonlinear Hammerstein quadratic integral equations.
Solvability of nonlinear problems at resonance
Solvability Of Operator Equations And Periodic Solutions Of Semilinear Hyperbolic Equations
Solvability of semilinear equations with strong nonlinearities and applications to elliptic boundary value problems
Solvability of the functional equation f = (T-I)h for vector-valued functions
Let X be a reflexive Banach space and (Ω,,μ) be a probability measure space. Let T: M(μ;X) → M(μ;X) be a linear operator, where M(μ;X) is the space of all X-valued strongly measurable functions on (Ω,,μ). We assume that T is continuous in the sense that if (fₙ) is a sequence in M(μ;X) and in measure for some f ∈ M(μ;X), then also in measure. Then we consider the functional equation f = (T-I)h, where f ∈ M(μ;X) is given. We obtain several conditions for the existence of h ∈ M(μ;X) satisfying...
Solving -dimensional complex moment problems.
Solving of nonlinear operators’ equations in Banach space
Solving some functional and operational equations.
Solving some nonlinear equations by successive approximations.
Solving variational inclusions by a method obtained using a multipoint iteration formula.
Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions
We prove the existence of a sequence satisfying , where f is a function whose second order Fréchet derivative ∇²f satifies a center-Hölder condition and F is a set-valued map from a Banach space X to the subsets of a Banach space Y. We show that the convergence of this method is superquadratic.
Some absolutely continuous representations of function algebras.
Some algebraic fixed point theorems for multi-valued mappings with applications
In this paper, some algebraic fixed point theorems for multi-valued discontinuous operators on ordered spaces are proved. These theorems improve the earlier fixed point theorems of Dhage (1988, 1991) Dhage and Regan (2002) and Heikkilä and Hu (1993) under weaker conditions. The main fixed point theorems are applied to the first order discontinuous differential inclusions for proving the existence of the solutions under certain monotonicity condition of multi-functions.