AbstractLet A be a linear operator in a Banach space X with the resolvent defined for all λ > 0; we introduce a subspace of initial values x in X for which both the first and the second order abstract Cauchy Problem for A have a solution. Our results complete those of S. Kantorovitz [5] on the Hille-Yosida subspace of A
Many initial boundary value problems can be put in the form: d/dt(B(t)u(t)) + A(t, u(t)) =f(t) where...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
The theory of second-order differential equations in Banach space is surveyed. An introduction of ce...
AbstractLet A be a linear operator in a Banach space X with the resolvent defined for all λ > 0; we ...
We prove a unique solvability of the Cauchy problem for a class of second order semilinear Sobolev t...
AbstractLet A be an arbitrary Banach space operator with resolvent defined for all λ > 0. We define ...
none1noWe study the well-posedness in the space of continuous functions of the Dirichlet boundary va...
AbstractA formula is given for the orthogonal complement of any vector subspace of l2. Countably inf...
Suppose that C is an arbitrary bounded operator on a Banach space. We define a pair of families of C...
Suppose that X is a Banach space and C is an injective operator in BX, the space of all bounded line...
AbstractIn a scale of Banach spaces we study the Cauchy problem for the equation u′′=A(Bu(t),u), whe...
It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order di...
We study a general initial-value problem for parabolic equations in Banach spaces, by using a monoto...
This paper is devoted to the investigation of the existence and uniqueness of a suitably defined wea...
AbstractThis paper investigates the condition ensuring the exponential stability of solutions for th...
Many initial boundary value problems can be put in the form: d/dt(B(t)u(t)) + A(t, u(t)) =f(t) where...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
The theory of second-order differential equations in Banach space is surveyed. An introduction of ce...
AbstractLet A be a linear operator in a Banach space X with the resolvent defined for all λ > 0; we ...
We prove a unique solvability of the Cauchy problem for a class of second order semilinear Sobolev t...
AbstractLet A be an arbitrary Banach space operator with resolvent defined for all λ > 0. We define ...
none1noWe study the well-posedness in the space of continuous functions of the Dirichlet boundary va...
AbstractA formula is given for the orthogonal complement of any vector subspace of l2. Countably inf...
Suppose that C is an arbitrary bounded operator on a Banach space. We define a pair of families of C...
Suppose that X is a Banach space and C is an injective operator in BX, the space of all bounded line...
AbstractIn a scale of Banach spaces we study the Cauchy problem for the equation u′′=A(Bu(t),u), whe...
It is proved that the resolution problem of a Sturm-Liouville operator problem for a second-order di...
We study a general initial-value problem for parabolic equations in Banach spaces, by using a monoto...
This paper is devoted to the investigation of the existence and uniqueness of a suitably defined wea...
AbstractThis paper investigates the condition ensuring the exponential stability of solutions for th...
Many initial boundary value problems can be put in the form: d/dt(B(t)u(t)) + A(t, u(t)) =f(t) where...
AbstractIn this paper we present the basic theory for a class of Volterra differential-integral equa...
The theory of second-order differential equations in Banach space is surveyed. An introduction of ce...
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