Results 81 to 90 of about 743,174 (312)

ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY

open access: yesAdvanced Engineering Research, 2012
The inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated.
Alexander Ovanesovich Vatulyan   +1 more
doaj  

Invariants of first order partial differential equations

open access: yesBoletim da Sociedade Paranaense de Matemática, 2018
In this paper we introduce the concepts of multiplicity and index of first order partial differential equations. In particular, the concept of multiplicity coincides with the multiplicity of implicit differential equations given by Bruce and Tari in [2]. We also show that these concepts are invariants by smooth equivalences.
openaire   +4 more sources

The Cauchy problem for a fourth order parabolic equation by difference methods [PDF]

open access: yes, 1953
Thesis (Ph.D.)--Boston UniversityThis paper deals with the solution of parabolic partial differential equations by difference methods. It is first concerned with obtaining certain basic results for the nth order equation... This enables one to exhibit a
Ross, Shepley Littlefield
core   +1 more source

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

open access: yesMolecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner   +6 more
wiley   +1 more source

ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY

open access: yesВестник Донского государственного технического университета, 2018
The inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated.
Alexander Ovanesovich Vatulyan   +1 more
doaj  

Wave Solutions

open access: yes, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

Evaluation and modification of tumor cell isolation techniques from malignant effusions for rapid drug sensitivity testing

open access: yesMolecular Oncology, EarlyView.
Non‐small cell lung cancer targeted treatment is limited to a few known genetic alterations, with few alternatives in advanced treatment lines. To direct treatment decisions by drug sensitivity testing (DST), this study compared several methods for tumor cell isolation from malignant effusions, pointing to repeated CD45+ cell depletion for effective ...
Navit Mooshayef   +10 more
wiley   +1 more source

Multi-dimensional Legendre wavelets approach on the Black-Scholes and Heston Cox Ingersoll Ross equations

open access: yesAIMS Mathematics, 2019
The one dimension Legendre Wavelet is a numerical method to solve one dimension equation. In this paper Black-Scholes equation (B-S), that has applied via single asset American option and Heston Cox- Ingersoll- Ross equation (HCIR), as partial ...
Jafar Biazar, Fereshteh Goldoust
doaj   +1 more source

Turbulent solutions of a first order partial differential equation

open access: yesJournal of Differential Equations, 1985
This paper considers asymptotic properties of solutions of \[ (1)\quad u_ t+c(x)u_ x=\lambda f(x,u)u,\quad u(0,x)=v(x). \] For sufficiently large \(\lambda\), the author proves that the behavior of solutions to (1) is turbulent for a dense subset of initial functions in a class V, where \[ V=\{v: [0,L]\to {\mathbb{R}}_+\quad continuous:\quad \limsup_{x\
openaire   +2 more sources

Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

open access: yesMolecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon   +13 more
wiley   +1 more source

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