Results 81 to 90 of about 8,284,364 (333)

Monge equation of arbitrary degree in 1 + 1 space [PDF]

open access: yesarXiv, 2013
Solution of Monge equation of arbitrary degree (non linear differential equation n-orden) is connected with solution of functional equation for 4 functions with 4 different arguments. Some number solutions of this equation is represented in explicit form.
arxiv  

Stability of a Mixed Type Additive and Quartic Functional Equation

open access: yes, 2014
In this paper we obtain the general solution of a mixed additive and quartic functional equation. We also prove the Hyers-Ulam  stability of this functional equation in random normed spaces.
A. Bodaghi
semanticscholar   +1 more source

Classification of acute myeloid leukemia based on multi‐omics and prognosis prediction value

open access: yesMolecular Oncology, EarlyView.
The Unsupervised AML Multi‐Omics Classification System (UAMOCS) integrates genomic, methylation, and transcriptomic data to categorize AML patients into three subtypes (UAMOCS1‐3). This classification reveals clinical relevance, highlighting immune and chromosomal characteristics, prognosis, and therapeutic vulnerabilities.
Yang Song   +13 more
wiley   +1 more source

A family of functional equations related to the monomial functions and its stability [PDF]

open access: yesarXiv, 2012
Our aim of this paper is to study a family of functional equation in vector and Banach spaces with difference operators, where this family of functional equation is a general mixed additive-quadratic-cubic-quartic functional equations. We show that every function satisfies the our functional equation is a monomial function with a certain degree ...
arxiv  

Transcriptome‐wide analysis of circRNA and RBP profiles and their molecular relevance for GBM

open access: yesMolecular Oncology, EarlyView.
CircRNAs are differentially expressed in glioblastoma primary tumors and might serve as therapeutic targets and diagnostic markers. The investigation of circRNA and RNA‐binding proteins (RBPs) interactions shows that distinct RBPs play a role in circRNA biogenesis and function.
Julia Latowska‐Łysiak   +14 more
wiley   +1 more source

Study of a functional equation associated to the Kummer's equation of the trilogarihtm. Applications [PDF]

open access: yesarXiv, 2002
In this paper we study a functional equation associated to the Kummer's equation (K) of the trilogarithm. Then we apply our results to web geometry and to characterize the functions solution of (K).
arxiv  

Eigenvalues and Functional Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
Abstract : The purpose of this paper was to illustrate how the techniques of the theory of dynamic programming may be used to convert a number of eigenvalue problems, where one is interested only in maximum or minimum values, into problems involving recurrence relations.
openaire   +2 more sources

Targeting the MDM2‐MDM4 interaction interface reveals an otherwise therapeutically active wild‐type p53 in colorectal cancer

open access: yesMolecular Oncology, EarlyView.
This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini   +10 more
wiley   +1 more source

Solution and Stability of the Multiquadratic Functional Equation

open access: yes, 2013
We consider the multiquadratic functional equation. We establish its general solution and provide a characterization for this functional equation. Finally, we prove the Hyers-Ulam-Rassias stability of this functional equation.
Xiaopeng Zhao   +2 more
semanticscholar   +1 more source

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