Temat: multivalued problem

Skocz do pozycji: 1.

Tytuł:: Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
Autorzy:: Papageorgiou, Nikolaos
Papalini, Francesca
Tematy:: eigenvalues
multivalued problem
discontinuous term
p-Laplacian
subdifferential
locally Lipschitz functional; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Powiązania:: https://bibliotekanauki.pl/articles/1207915.pdf Link otwiera się w nowym oknie
Opis:: We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Convergence analysis for double phase obstacle problems with multivalued convection term
Autorzy:: Zeng, Shengda
Gasiński, Leszek
Bai, Yunru
Winkert, Patrick
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the convergence of solutions of multivalued parabolic equations and applications
Autorzy:: Migórski, Stanisław
Papageorgiou, N. S.
Denkowski, Zdzisław
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 4.

Tytuł:: On the topological dimension of the solutions sets for some classes of operator and differential inclusions
Autorzy:: Bader, Ralf
Gel'man, Boris
Kamenskii, Mikhail
Obukhovskii, Valeri
Tematy:: solutions set
fixed points set
topological dimension
multivalued map
condensing map
topological degree
differential inclusion
periodic problem; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729534.pdf Link otwiera się w nowym oknie
Opis:: In the present paper, we give the lower estimation for the topological dimension of the fixed points set of a condensing continuous multimap in a Banach space. The abstract result is applied to the fixed point set of the multioperator of the form $ = S _F$ where $_F$ is the superposition multioperator generated by the Carathéodory type multifunction F and S is the shift of a linear injective operator. We present sufficient conditions under which this set has the infinite topological dimension. In the last section of the paper, we consider the applications of the solutions sets for Cauchy and periodic problems for semilinear differential inclusions in a Banach space.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: On a multivalued second order differential problem with Hukuhara derivative
Autorzy:: Piszczek, M.
Tematy:: Hukuhara's derivative
multivalued cosine families
Riemann integral for multifunctions
Cauchy problem for a set-valued differential equation; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255779.pdf Link otwiera się w nowym oknie
Opis:: Let K be a closed convex cone with the nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. Assume that continuous linear multifunctions H, ψ : K → cc(K) are given. We consider the following problem D2 φ (t, x) = φ (t, H(x)), D φ (t,x) / (t=0) = {0}, φ (0, x) = ψ (x) for t ≥ 0 and x ∈ K, where D φ (t, x) denotes the Hukuhara derivative of φ (t, x) with respect to t.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: Multivalued linear operators and differential inclusions in Banach spaces
Autorzy:: Baskakov, Anatolii
Obukhovskii, Valeri
Zecca, Pietro
Tematy:: multivalued linear operator
generalized semigroup
minimal growth at infinity
Hille-Yosida condition
degenerate differential inclusion
Cauchy problem
bounded solution; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729521.pdf Link otwiera się w nowym oknie
Opis:: In this paper, we study multivalued linear operators (MLO's) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the Hille-Yosida condition. Then we describe the generalized semigroups induced by MLO's. We present a criterion for an MLO to be a generator of a generalized semigroup in an arbitrary Banach space. Finally, we obtain some existence results for differential inclusions with MLO's and various types of multivalued nonlinearities. As a consequence, we give theorems on the existence of local, global and bounded solutions of the Cauchy problem for degenerate differential inclusions.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 7.

Tytuł:: An abstract Cauchy problem for higher order functional differential inclusions with infinite delay
Autorzy:: Ke, Tran
Obukhovskii, Valeri
Wong, Ngai-Ching
Yao, Jen-Chih
Tematy:: Cauchy problem
functional differential inclusion
infinite delay
higher order
existence family
phase space
fixed point
multivalued map
measure of noncompactness
condensing map; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729357.pdf Link otwiera się w nowym oknie
Opis:: The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 8.

Tytuł:: Construction of Generalized Rademacher Functions in Terms of Ternary Logic : Solving the Problem of Visibility of Using Galois Fields for Digital Signal Processing
Autorzy:: Vitulyova, Elizaveta S.
Matrassulova, Dinara K.
Suleimenov, Ibragim E.
Tematy:: digital signal processing
non-binary Galois fields
fourier transform
rademacher functions
walsh function
multivalued logic
visibility problem
algebraic extensions
ternary representation of number; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/2055235.pdf Link otwiera się w nowym oknie
Opis:: Generalized Rademacher functions, constructed as a sequence of elements of Galois fields are intended to find the spectral representation of signals with levels. These functions form a complete basis on the interval corresponding to -1 discrete time intervals and for passing into the classical Rademacher functions. The advantage of such spectra obtained using Galois Fields Fourier Transform is that the range of variation of the spectrum amplitudes remains the same as the range of variation of the original signal, which is modeled on discrete time functions taking values in the Galois field.
Dostawca treści:: Biblioteka Nauki

Artykuł

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