STMO-7 Usefulness of NU-KNIT in retractorless surgery for malignant glioma

On the removal of the brain tumor, securing of appropriate working corridor and the maintenance of the visibility are one of the most relevant elements regardless of tumor local existence. This is unchangeable extract in these days when a support apparatus such as navigation system and the nerve monitoring was enriched, and, in the malignant glioma that a tumor border is relatively indistinct, the importance does not change either.At our hospital, I protect the access route by two folds of coating of absorbable hemostat(Surgical NU-KNIT) and neurosurgical patties (Delicot) on the removal of the malignant brain tumor in the brain deep part instead without using as possible fixed retractor for the purpose of securing of working corridor under minimum retraction and extract deep part tumor. In this way, normal real protection, wet maintenance, maintenance of the visibility by the control of the bleeding and pressure reduction of the neighborhood organization extracting are provided, and postoperative function recovery gets an early impression. About a method of the securing of working corridor at our hospital, I inspect the usefulness and limit by showing representative cases and want to have an opinion, criticism.

Consumer Optimization and a First-Order PDE with a Non-Smooth System

We study a first-order nonlinear partial differential equation and present a necessary and sufficient condition for the global existence of its solution in a non-smooth environment. Using this result, we prove a local existence theorem for a solution to this differential equation. Moreover, we present two applications of this result. The first concerns an inverse problem called the integrability problem in microeconomic theory and the second concerns an extension of Frobenius’ theorem.

Anomalous pseudo-parabolic Kirchhoff-type dynamical model

In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is obtained by employing the Contraction Mapping Principle. Then, we get the global existence of solution, long time behavior of global solution and blowup solution for J(u 0) ⩽ d, respectively. In particular, the lower and upper bound estimates of the blowup time are given for J(u 0)<d. Finally, we discuss the blowup of solution in finite time and also estimate an upper bound of the blowup time for high initial energy.

On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type

The identification of an unknown coefficient in the lower term of elliptic second-order differential equation Mu + ku = f with the boundary condition of the third type is considered. The identification of the coefficient is based on integral boundary data. The local existence and uniqueness of the strong solution for the inverse problem is proved

Local existence–uniqueness and monotone iterative approximation of positive solutions for p-Laplacian differential equations involving tempered fractional derivatives

In this paper, we are concerned with a kind of tempered fractional differential equation Riemann–Stieltjes integral boundary value problems with p-Laplacian operators. By means of the sum-type mixed monotone operators fixed point theorem based on the cone $P_{h}$ P h , we obtain not only the local existence with a unique positive solution, but also construct two successively monotone iterative sequences for approximating the unique positive solution. Finally, we present an example to illustrate our main results.

Local existence with low regularity for the 2D compressible Euler equations

We prove the local existence, uniqueness and stability of local solutions for the Cauchy problem of two-dimensional compressible Euler equations, where the initial data of velocity, density, specific vorticity [Formula: see text] and the spatial derivative of specific vorticity [Formula: see text].