Sub- and super-shear ruptures during the 2023 Mw 7.8 and Mw 7.6 earthquake doublet in SE Türkiye

An earthquake doublet (Mw 7.8 and Mw 7.6) occurred on the East Anatolian Fault Zone (EAFZ) on February 6th, 2023. The events produced significant ground motions and caused major impacts to life and infrastructure throughout SE Türkiye and NW Syria. Here we show the results of earthquake relocations of the first 11 days of aftershocks and rupture models for both events inferred from the kinematic inversion of HR-GNSS and strong motion data considering a multi-fault, 3D geometry. We find that the first event nucleated on a previously unmapped fault before transitioning to the East Anatolian Fault (EAF) rupturing for ~350 km and that the second event ruptured the Sürgü fault for ~160 km. Maximum rupture speeds were estimated to be 3.2 km/s for the Mw 7.8 event. For the Mw 7.6 earthquake, we find super-shear rupture at 4.8 km/s westward but sub-shear eastward rupture at 2.8 km/s. Peak slip for both events were as large as ~8m and ~6m, respectively

Oscillation of Solitions of First Order Linear Advanced Difference Equations

Bu tez çalışması dört bölümden oluşmaktadır. Birinci bölüm, giriş kısmına ayrılarak genel bir literatür bilgisi verilmiştir. İkinci bölümde, gerekli temel kavramlardan ve şimdiye dek yapılan bazı çalışmalardan söz edilmiştir. Üçüncü bölüm ise orijinal sonuçlara adanmıştır.This thesis consists of four chapters. The first chapter is devoted to the introduction section and provide a generel knowledge of literature. In the second chapter, we mention some basic notions and studies so far. Third chapter is devoted to our original results

Linearized Oscillation of Nonlinear Difference Equations with Advanced Arguments

summary:This paper is concerned with the nonlinear advanced difference equation with constant coefficients $$x_{n+1}-x_{n}+\sum _{i=1}^{m}p_{i}f_{i}(x_{n-k_{i}})=0\,,\quad n=0,1,\dots$$ where $p_{i}\in (-\infty ,0)$ and $k_{i}\in \lbrace \dots ,-2,-1\rbrace$ for $i=1,2,\dots ,m$. We obtain sufficient conditions and also necessary and sufficient conditions for the oscillation of all solutions of the difference equation above by comparing with the associated linearized difference equation. Furthermore, oscillation criteria are established for the nonlinear advanced difference equation with variable coefficients $$x_{n+1}-x_{n}+\sum _{i=1}^{m}p_{in}f_{i}(x_{n-k_{i}})=0\,,\quad n=0,1,\dots$$ where $p_{in}\le 0$ and $k_{i}\in \lbrace \dots ,-2,-1\rbrace$ for $i=1,2,\dots , m$

Further oscillation criteria for partial difference equations with variable coefficients

In this paper, some new oscillation criteria on the oscillation of first-order partial delay difference equations with non negative variable coefficients, which improve the recent ones under some additional conditions, are given. Some examples to illustrate the applicability of our results are also Supplied of which solutions are plotted by the mathematical programming language Mathematica 7.0. (C) 2009 Elsevier Ltd. All rights reserved

OSCILLATION AND NONOSCILLATION OF FIRST-ORDER DYNAMIC EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

In this article, we investigate oscillatory nature of all solutions of a class of delay dynamic equations including positive and negative coefficients. Also we give a nonoscillation criterion for this class of delay dynamic equations. While our results reduce to the well-known oscillation criteria for the particular cases of the time scale, they improve recent results on arbitrary time scales. Further, we give some illustrating examples as applications of our results

New oscillation tests and some refinements for first-order delay dynamic equations

In this paper, we present new sufficient conditions for the oscillation of first-order delay dynamic equations on time scales. We also present some examples to which none of the previous results in the literature can apply