Abstract
We establish the well-posedness of a nonlocal multipoint problem for a second-order evolution equation with respect to a time variable with an operator having a discrete spectrum. A nonlocal condition is considered to be satisfied in a weak sense in the space of formal Fourier series that are identified with continuous linear functionals (generalized elements) on some space connected with the operator.
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Articles in the same Issue
- Frontmatter
- An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials
- On generalized α-ψ-Geraghty contractions on b-metric spaces
- New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods
- A Tauberian theorem for the generalized Nörlund summability method
- A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities
- The Robin function and conformal welding – A new proof of the existence
- Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition
- The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order
- Wavelets method for solving nonlinear stochastic Itô–Volterra integral equations
- On an approximate solution of a class of surface singular integral equations of the first kind
- On Φ-Dedekind, Φ-Prüfer and Φ-Bezout modules
- On the geometrical properties of hypercomplex four-dimensional Lie groups
- On sets of singular rotations for translation invariant differentiation bases formed by intervals
- Certain commutativity criteria for rings with involution involving generalized derivations
- The ℳ-projective curvature tensor field on generalized (κ,μ)-paracontact metric manifolds
- Ripplet transform and its extension to Boehmians
- Variable exponent fractional integrals in the limiting case α(x)p(n) ≡ n on quasimetric measure spaces
Articles in the same Issue
- Frontmatter
- An improvement of the constant in Videnskiĭ’s inequality for Bernstein polynomials
- On generalized α-ψ-Geraghty contractions on b-metric spaces
- New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods
- A Tauberian theorem for the generalized Nörlund summability method
- A multilinear reverse Hölder inequality with applications to multilinear weighted norm inequalities
- The Robin function and conformal welding – A new proof of the existence
- Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition
- The well-posedness of a nonlocal multipoint problem for a differential operator equation of second order
- Wavelets method for solving nonlinear stochastic Itô–Volterra integral equations
- On an approximate solution of a class of surface singular integral equations of the first kind
- On Φ-Dedekind, Φ-Prüfer and Φ-Bezout modules
- On the geometrical properties of hypercomplex four-dimensional Lie groups
- On sets of singular rotations for translation invariant differentiation bases formed by intervals
- Certain commutativity criteria for rings with involution involving generalized derivations
- The ℳ-projective curvature tensor field on generalized (κ,μ)-paracontact metric manifolds
- Ripplet transform and its extension to Boehmians
- Variable exponent fractional integrals in the limiting case α(x)p(n) ≡ n on quasimetric measure spaces