Solvability of boundary-value problem with bounded operator in boundary conditions for fourth-order elliptic operator-differential equation

Boundary value problems for higher-order elliptic equations (35J40) Spaces of vector- and operator-valued functions (46E40) Groups and semigroups of linear operators (47D03) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear differential equations in abstract spaces (34G10)

Cites Work

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Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces
On boundary value problem solvability theory for a class of high-order operator-differential equations
On the well-posedness of a boundary value problem for a class of fourth-order operator-differential equations
Solvability conditions of a boundary value problem with operator coefficients and related estimates of the norms of intermediate derivative operators
Second order elliptic differential-operator equations with unbounded operator boundary conditions in \(UMD\) Banach spaces
Multiple completeness of root vectors of polynomial operator pencils corresponding to \(boundaryvalue\) problems on the semiaxis
Boundary-value problems for a class of operator differential equations of higher order with variable coefficients
Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions
On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics
A boundary-value problem with an operator in the boundary conditions, for a second-order elliptic differential-operator equation
Coercive solvability of boundary-value problems for elliptic operator-differential equations with an operator in the boundary conditions
Solvability conditions for boundary-value problems for elliptic operator-differential equations with discontinuous coefficient
Fredholm property of boundary value problems for a fourth-order elliptic differential-operator equation with operator boundary conditions
On the solvability of the boundary-value problem for second-order equations in Hilbert space with an operator coefficient in the boundary condition
On the boundary value problem with the operator in boundary conditions for the operator-differential equation of second order with discontinuous coefficients
On a Boundary-Value Problem for One Class of Differential Equations of the Fourth Order with Operator Coefficients
Some problems in the theory of polynomial operator pencils
ON SOME DIFFERENTIAL-OPERATOR EQUATIONS OF ARBITRARY ORDER

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