The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model

This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved first in the sublinear case and then for nonlinearities of degree at most three. The conditions for finite-time blow-up of solutions are established.Comment: To appear in Journal of Differential Equations (added references, corrected typos, minor revision in Section 2, 18 pages

Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations

We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative. Some well-known examples of nonlinear wave equations, such as coupled Boussinesq-type equations arising in elasticity and in quasi-continuum approximation of dense lattices, follow from the present model for suitable choices of the kernel functions. We establish local existence and sufficient conditions for finite time blow-up and as well as global existence of solutions of the problem.Comment: 11 pages. Minor changes and added reference

INVESTIGATING STUDENTS’ SCIENTIFIC CREATIVITY AND METACOGNITIVE AWARENESS LEVEL ACCORDING TO RIASEC INTEREST INVENTORY

The primary goal of this study was to identify which of the RIASEC categories the students participating in the sample fell into. The other goal was to determine whether the students’ scientific creativity and metacognitive awareness scores differed significantly depending on their RIASEC categories and gender. The study was a descriptive survey including 162 students studying in the sixth, seventh and eighth grades of a public middle school in Turkey. The students were asked to fill out the RIASEC Inventory, Scientific Creativity Scale and Metacognitive Awareness Scale. Student t-test and one-way ANOVA were conducted in the statistical analysis. Based on the analyses, it was found that most of the students fell into a single category in terms of the RIASEC category classification. There was no significant difference between the scientific creativity scores of the students in terms of the RIASEC categories. Their metacognitive awareness scores, however, differed significantly depending on the categories. The significant difference between the metacognitive awareness scores was found to be in favor of the students falling into two categories, in comparison to those belong to a single category. Considering the sub-dimensions of metacognitive awareness, it was observed that the difference was in the sub-dimensions of declarative knowledge and procedural knowledge, and in the sub-dimension of monitoring ability in terms of metacognitive regulation. The interpretation of the findings obtained through the analyses led to the conclusion that the students’ creativity scores were not influenced by the RIASEC categories to which they belonged, and that their metacognitive awareness scores could be associated with the categories of this model of vocational interest. Implications for practice into the classroom are discussed and further recommendations for future studies provided.  Article visualizations

The Cauchy Problem for a One Dimensional Nonlinear Peridynamic Model

This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions are discussed. The existence of a global solution is proved first in the sublinear case and then for nonlinearities of degree at most three. The conditions for finite-time blow-up of solutions are established.Comment: To appear in Journal of Differential Equations (added references, corrected typos, minor revision in Section 2, 18 pages

Peran Account Officer dalam Manajemen Pembiayaan Syariah terhadap Peningkatan Pendapatan pada KPN Al Muawanah UIN Alauddin Makassar

Hasil dari penelitian menunjukan bahwa peran Account Officer dalam manajemen pembiayaan syariah melalui analisi 2 P yaitu Porpuse dan Payment, kemudian peran Account officer dalam meningkatkan pendapatan yakni dengan mengelola profability, mengelola kredit (pembiayaan) serta mengelola penjualan

A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity

In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using locally non-linear theory of 1D non-local elasticity and then we are able to show that under certain conditions the Cauchy problem is globally well-posed

Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity

We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is nonnegative. We show that some well-known examples of nonlinear wave equations, such as Boussinesq-type equations, follow from the present model for suitable choices of the kernel function. We establish global existence of solutions of the model assuming enough smoothness on the initial data together with some positivity conditions on the nonlinear term. Furthermore, conditions for finite time blow-up are provided

USING REAL ENGAGEMENT IN THE ACTIVE PROBLEM-SOLVING MODEL IN TEACHING SCIENCE: AN INTERPRETIVE PEDAGOGICAL CONTENT KNOWLEDGE STUDY OF AN EXPERIENCED SCIENCE TEACHER

The study aimed to examine and interpret the experiences of an experienced science teacher in Real Engagement in Active Problem Solving Model (REAPS) implementation conducted within the Electricity Unit through a validated pedagogical content knowledge (PCK) framework. To this end, the study examined the efforts of an experienced middle school science teacher, in helping her seventh graders in a rural public school improve conceptual understandings of electricity. She was an information-rich teacher and agreed voluntarily participation in the study. The study was based on a basic qualitative study design. REAPS interview questions and guiding interview questions with prompts were employed as the data collection tools. The data were analysed via in-depth analysis of explicit PCK, enumerative approach, and constant comparisons. The results revealed various characteristics of the usage of REAPS Model, the interactions between the PCK components, and emerged critical incidents in teaching practice. Regarding the usage of REAPS Model, the science teaching experience of the paticipant teacher was expanded with the themes of engagement, real-life experiences, socialization in diverse cultural contexts, teaching in varied physical conditions through argumentation and retention. As an experienced teacher, the interactions between knowledge of learners and knowledge of instructional strategies were central in the teaching performance of the participant reacher. Self-efficacy was specifically found conducive for triggering these interactions together with knowledge of curriculum. However, her science teaching orientation impeded the interactions between most of the PCK components. Finally, critical incidents were found beneficial to the investigations looking for the interactions between three or more PCK components, in particular