Temat: initial operator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On a nonlinear integrodifferential evolution inclusion with nonlocal initial conditions in Banach spaces
Autorzy:: Yan, Z.
Powiązania:: https://bibliotekanauki.pl/articles/256031.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: nonlinear integrodifferential evolution inclusions
fixed point
resolvent operator
nonlocal initial condition
Opis:: In this paper, we discuss the existence results for a class of nonlinear integrodifferential evolution inclusions with nonlocal initial conditions in Banach spaces. Our results are based on a fixed point theorem for condensing maps due to Martelli and the resolvent operators combined with approximation techniques.
Źródło:: Opuscula Mathematica; 2012, 32, 2; 377-394
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces
Autorzy:: Yang, Y.
Wang, J.
Powiązania:: https://bibliotekanauki.pl/articles/256027.pdf
Data publikacji:: 2011
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: integrodifferential equations
nonlocal initial condition
completely continuous operator
Schaefer fixed point theorem
mild solution
Opis:: In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. The main results are obtained by using the Schaefer fixed point theorem and semigroup theory. Finally, an example is given for demonstration.
Źródło:: Opuscula Mathematica; 2011, 31, 3; 443-455
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Eigenvalue-eigenfunction problem for Steklovs smoothing operator and differential-difference equations of mixed type
Autorzy:: Iakovlev, S. I.
Iakovleva, V.
Powiązania:: https://bibliotekanauki.pl/articles/254795.pdf
Data publikacji:: 2013
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Steklov's smoothing operator
spectrum
eigenvalues
eigenfunctions
mixed-type differential-difference equations
initial function
method of steps
countably normed space
transformation group
generator
Opis:: It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space [formula]. For μ ≠ 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial functions and the spectrum of the generator of this group is studied. Some possible generalizations are pointed out.
Źródło:: Opuscula Mathematica; 2013, 33, 1; 81-98
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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