Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Ya. Yakubov"'
Publikováno v:
Journal of Mathematical Sciences. 260:583-599
Publikováno v:
Differential Equations. 56:1306-1317
We study the solvability of the problem for the elliptic second-order differential-operator equation $$\lambda ^2 u(x)-u^{\prime {}\prime }(x)+Au(x)=f(x) $$ , $$x\in (0,1)$$ , in a separable Hilbert space $$H$$ with the boundary conditions $$ u^{\pri
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 64:194-210
In a Hilbert space X, we consider the abstract problem M∗ddt(My(t))=Ly(t)+f(t)z,0≤t≤τ,My(0)=My0, where L is a closed linear operator in X and M∈L(X) is not necessarily invertible, z∈X. Given the additional information Φ[My(t)]=g(t) wuth
Publikováno v:
Differential Equations. 54:67-85
In a Hilbert space H, we study noncoercive solvability of a boundary value problem for second-order elliptic differential-operator equations with a spectral parameter in the equation and in the boundary conditions in the case where the leading part o
Publikováno v:
Ukrainian Mathematical Journal. 69:857-875
The problem of solvability of boundary-value problems for differential-operator equations of the second order on a finite interval is studied in a complex separable Hilbert space H in the case where the same spectral parameter appears in the equation
Autor:
Ya. Yakubov, B. A. Aliev
Publikováno v:
Differential Equations. 50:213-219
In a Hilbert space H, we study the Fredholm property of a boundary value problem for a fourth-order differential-operator equation of elliptic type with unbounded operators in the boundary conditions. We find sufficient conditions on the operators in
Autor:
M. Kandemir, Ya. Yakubov
Publikováno v:
Israel Journal of Mathematics. 180:255-270
We consider a linear differential equation which includes a linear abstract operator, with a piecewise constant coefficient at the principal differential term, together with multipoint boundary-transmission conditions, including linear functionals. T
Autor:
B. A. Aliev, Ya. Yakubov
Publikováno v:
Integral Equations and Operator Theory. 69:269-300
In a UMD Banach space E, we consider a boundary value problem for a second order elliptic differential-operator equation with a spectral parameter when one of the boundary conditions, in the principal part, contains a linear unbounded operator in E.
Autor:
Vladimir Ya Yakubov
Publikováno v:
Sbornik: Mathematics. 200:1565-1574
The behaviour of solutions of the equation y''+{lambda}{rho}(x,{lambda})y=0 with respect to the spectral parameter {lambda} is investigated under the assumption that the function {rho}(x,{lambda}) does not satisfy the classical conditions. Two types
Autor:
A. Ya. Yakubov
Publikováno v:
Differential Equations. 45:1326-1336
Weakly nonlinear and strongly nonlinear convolution-type Volterra equations u(x) = (K * ϕ(u))(x) are studied in new classes of weakly synchronous and quasiconcave functions f under assumptions less restrictive than the classical ones. Existence and