Boundary value problem for second-order differential operators with mixed nonlocal boundary conditions.
Boundary value problems and controllability of linear systems with right invertible operators [Book]
Boundary value problems and layer potentials on manifolds with cylindrical ends
We study the method of layer potentials for manifolds with boundary and cylindrical ends. The fact that the boundary is non-compact prevents us from using the standard characterization of Fredholm or compact pseudo-differential operators between Sobolev spaces, as, for example, in the works of Fabes-Jodeit-Lewis and Kral-Wedland . We first study the layer potentials depending on a parameter on compact manifolds. This then yields the invertibility of the relevant boundary integral operators in the...
Boundary value problems for differential equations with deviating arguments
Boundary value problems for elliptic integro-differential operators.
Boundary value problems for first order multivalued differential systems
We present some existence results for boundary value problems for first order multivalued differential systems. Our approach is based on topological transversality arguments, fixed point theorems and differential inequalities.
Boundary value problems for linear operators in ordered Banach spaces
We study boundary value problems of the type Ax = r, φ(x) = φ(b) (φ ∈ M ⊆ E*) in ordered Banach spaces.
Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
Boundary value problems for nonlinear perturbations of some ϕ-Laplacians
This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder...
Boundary value problems in domains with peaks.
Boundary value problems in time for wave equations on .
Boundary value problems in weighted spaces
Boundary value problems on [a,b) and singular perturbations
Boundary value problems with nonlinearities having infinite jumps
Boundary values of analytic semigroups and associated norm estimates
The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
Boundary vs. interior conditions associated with weighted composition operators
Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk , we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior and on the boundary respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators.
Boundary-value problems for second-order differential operators with nonlocal boundary conditions.
Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces.
Bounded approximants to monotone operators on Banach spaces
Bounded convergence theorem and integral operator for operator valued measures