Ushbu maqola elastik-g'ovak muhitda SH to'lqinlari uchun IS tenglamasining singular echimlarini taqdim etadi. Volterra integral tenglamalari tizimi to'lqin maydonlarining kengayish koeffitsientlari uchun olingan. Elastic model uchun to'lqin maydonlarini kengaytirish koeffitsientlari uchun yaxshi ma'lum ifodalarga aylantiriladi.
Ushbu maqola to'qimali muhitda SH to'lqinlarining bir o'lchovli singulyar yechimini taqdim etadi. Volterra integral tenglamalar sistemasi olinadi va elastik model uchun kengayish koeffitsientlari o'zgarib turishi ko'rsatiladi.
Qisqacha mazmun mavjud emas.
Ushbu maqolada radial singular operator yordamida bir tomonli shar potentsiallarning o'zaro bog'liqligi ko'rsatilgan. Asosiy e'tibor, bir tomonli shar potentsiallarining singular operatorlar bilan bog'liqligini o'rganishga qaratilgan. Maqolada, shuningdek, teskari bir tomonli shar potentsiallarni aniqlash va ular uchun tengliklarni ko'rsatish, shuningdek, chap va o'ng tomondagi kasr integrallar orasidagi bog'liqlikni tahlil qilish kabi masalalar ham ko'rib chiqiladi.
Dissertatsiya elastik-g'ovak muhitda SH to'lqinlarining dinamik jarayonlarini matematik modellashtirishga bag'ishlangan. Unda SH to'lqinlarining tarqalishini tavsiflovchi tenglamalar sistemasini, shuningdek to'g'ri va teskari masalalarni yechish usullari ishlab chiqilgan. Tadqiqotda yangi matematik modellar, yechimlar va hisoblash algoritmlari taklif etiladi. Ishning amaliy ahamiyati seysmologiya va neft qazib olish sohalarida qo'llanilishi mumkinligidadir.
Ushbu bitiruv malakaviy ishi “Singulyar umumlashgan funksiyalar va ularning hosilalarini hisoblash” deb nomlanib, kirish qismi, 2 ta bob, 4 ta paragraf, har bir bob uchun xulosalar, xotima va adabiyotlar ro'yxatidan iborat. Birinchi bob umumlashgan funksiyalar haqida tushuncha, asosiy funksiyalar va ularga misollar, umumlashgan funksiyalar turlari, Dirakning δ-funksiyasi va unga doir misollar bilan birgalikda ularga doir teoremalarning isboti bilan keltirib o'tilgan. Ikkinchi bob esa singulyar umumlashgan funksiyalar va ularga misollar deb nomlanib, Soxotskov formulalari, singulyar umumlashgan funksiyalarga misollar, singulyar umumlashgan funksiyalarning hosilalari haqida gap ketadi. Ish kvant fizika va kvant mexanika yo'nalishidagi magistrlar o'zlarining sohalarida foydalanishlari mumkin.
Qisqacha mazmun mavjud emas.
Ushbu kitob egiluvchan sirtlarning oddiy nuqtalar atrofidagi xususiyatlari, Furye almashtirishlari va ularning xarakterini o'rganishga bag'ishlangan. Qaldirg'och dumi tipidagi maxsusliklarga alohida e'tibor qaratilgan.
Ushbu bitiruv malakaviy ishda integral tenglamalar, ularning turlari, Fredholm va Volterra integral tenglamalar haqida umumiy ma'lumotlar keltirilgan. Integral tenglamalarni yechish usullari oʻrganilgan. Singulyar integral tenglamalar nisbatan kam o'rganilgan soha hisoblanadi. Ushbu bitiruv malakaviy ishidan barcha oliy o'quv yurtlari «Matematika» va «Fizika» ta'lim yo'nalishlari o'qituvchilari va talabalari muhim qo'llanma sifatida foydalanishlari mumkin.
The journal "Problems of Modern Science and Education" No. 6 (126) in 2018 covers a wide range of scientific research, including physics and mathematics, biology, technical sciences, historical sciences, economic sciences, geographical sciences, pedagogical sciences, philological sciences, medical sciences, and philosophy. The journal features articles on solving non-local problems for hyperbolic equations, the ecological basis for predicting the number of green apple aphid, the regulation of the electrical activity of ureters with histamine, experimental equipment for investigating innovative methods of tube drawing, the features of calculation schemes in the choice of parameters of suspension systems of transport and technological machines, the study of temperature sensor circuits for radiation resistance, the calculation of the coefficient of technological efficiency of printed circuit boards, the problems of accounting for small businesses, the use of cash flow indicators in assessing the efficiency of financial strategies, the perspectives of international scientific and technological cooperation of Russia in the field of civil aviation, the development of an assessment method for master's programs, the study of precedent phenomena and phraseological expressions, the naming of orographic objects based on natural-geographical signs and features, the housing and economic conditions in the postwar period in the hero-city of Novorossiysk, the analysis of the relationship between the development of the Russian economy and small enterprises, the problem of social and communicative development of children of preschool age, aesthetic education of junior pupils by means of art, the fate of N.Ya. Danilevsky's heritage in the XXI century, questions of applied ethics in the light of N. Berdyaev's personalism, the recognition of voice binding dysfunction under laryngospasm in children, the evaluation of the effectiveness of some approaches in emergency medical assistance in diffunction of voice bindings in children, the features of electronic microscopy of kidney nephrons and weights of rat bodies in long-term food deprivation at highlands, and the formalization of positioning of stable isotopes.