AbstractEpidermal inclusion cysts are uncommon in the breast, but the consequences can besevere when these cysts occur in the breast parenchyma. Here, we report two suchcases. The patient in case 1 was an 37-year-old woman with a 3-cm palpable mass inthe right breast. Mammography revealed a round and smoothly outlined mass, whichindicated a benign tumor, and sonography showed an irregularly sha...

For an arbitrary second-order stable matrix A, we calculate the maximum positive value R for which the differential inclusion ẋ ∈ FR(x) := {(A +∆)x,∆ ∈ R2×2, ‖∆‖ ≤ R} is asymptotically stable.

In this paper we shall establish a result concerning the covering dimension of a set of the type {x ∈ X : Φ(x)∩Ψ(x) 6= ∅}, where Φ, Ψ are two multifunctions from X into Y and X, Y are real Banach spaces. Moreover, some applications to the differential inclusions will be given.

Generalised multivalued inequalities are studied in this paper. Our results enable us to discuss control problems and differential inclusions on proximate retracts.

*Correspondence: [email protected] 1Department of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China Full list of author information is available at the end of the article Abstract This study aims to explore modular inequalities of interval-valued fuzzy soft sets characterized by Jun’s soft J-inclusions. Using soft product operations...

In this paper, we discuss an efficient algorithm for the ordered tree inclusion problem, by which it is checked whether a pattern tree (forest) P can be embedded in a target tree (forest) T. The time complexity of this algorithm is bounded by O(|T|logDP), where DP is the depth of P; and its space overhead is bounded by O(|T| + |P|). This computational complexity is better than any existing alg...

The asymptotic behavior of the solution of a differential inclusion provides a simple proof of a minmax theorem.

Cytomegalovirus infection causes, in contrast to other viral infections, characteristic and specific long-lasting cellular changes (Brzosko and Michalowski, 1956; Medearis, 1957; Nelson and Wyatt, 1959; Seifert and Oehme, 1957). For this reason, histopathological diagnostic investigation is of considerable value (Bardier, Bouissou, Regnier, Martinez, Bezy, and Laplanche, 1964; Fetterman, 1952; ...