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Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

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Kırgızistan çeltik üretimine genel bir bakış

Bermet KIDIRALİYEVA | Nurcamal ÖMÜRZAKOVA | Yılmaz KAYA

Çeltik, Antarktika hariç tüm kıtalarda yetiştirilen dünyanın en değerli gıda ürünleri arasında yer almaktadır. Küresel ölçekte, ekim alanı açısından değerlendirildiğinde buğdaydan sonra ikinci sırada yer almakla birlikte verimi yaklaşık olarak toplam buğday verimine eşittir. Kırgızistan, çeltik yetiştiriciliği bakımından önde gelen ülkeler arasında yer almamakta, bu bölgede sadece yerel ölçekte üretim yapılmaktadır. Kırgızistan’ın güney bölgesi çeltik tarımına elverişli olduğu için son 10 yılda nispeten çeltik ekim alanları ve tüketimi artmıştır. Çeltiğe ilginin artmasına; nüfus artışı, ekonom ...More

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Investigation of the allelopathic effects of lyophilized ethanol extract of Xanthoparmelia somloensis (Gyelnik) Hale lichen on tomato plant

Ali ASLAN

All organisms in nature interact and compete with each other. Various groups of organisms such as algae, lichens, crops and weeds have been found as allelopathic interaction and it is known that lichens have many potent secondary metabolites. The aim of this study was to determine the allelopathic effects of lyophilized ethanolic extract of Xanthoparmelia somloensis (Gyelnik) Hale lichen (XS) on tomato (Lycopersicum esculentum L.) germination and early development stage. Obtained lyophilized ethanolic extracts of XS lichen at concentrations of 50 ppm (XS-50), 100 ppm (XS-100), 200 ppm (XS-200) ...More

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О методе функционалов Ляпунова для линейного вольтеррова интегродифференциального уравнения первого порядка с запаздыванием на полуоси

Samandar İSKANDAROV

Устанавливаются достаточные условия, обеспечивающие оценку, ограниченность, степенную абсолютную интегрируемость на полуоси, стремление к нулю при стремлении к бесконечности независимой переменной всех решений линейного вольтеррова интегродифференциального уравнения первого порядка с запаздыванием. Для этого строится обобщенный функционал Ляпунова. Приводится иллюстративный пример. Keywords: volterra integrodifferential equation of the first order; argument lag; estimation; boundedness; absolute integrability; tending to zero of solutions; generalized method of lyapunov functionals

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Выбор параметров решения линейных неклассических уравнений первого рода

Avıt ASANOV

В рассматриваемой работе выбран параметр регуляризации для решения линейного интегрального уравнения Вольтерра первого рода. Во многих работах были исследованы различные вопросы для интегральных уравнений. Даже когда уравнение первого типа Вольтерры является интегральным уравнением с точным выходом, неклассические уравнения, интегрируемые по предел, являются линейными, и нелинейные интегральные уравнения являются линейными, и это обусловлено необходимостью разработки новых методов для единственности их решений. Но в данной работе получены основополагающие результаты для интегральных уравнений ...More

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Lichens as Biomonitors of Air Pollutants Deposition: Strategically Important Element Pollution

Ali ASLAN

Investigation of various species of lichen as biomonitors of air pollutants deposition and evaluation of element pollution were aimed. Maximum accumulation was 43.9±2.1 mg/kg in X. somloensis. Strontium in lichen species was quite high. Percentages of strontium for L.pulmonaria, C.furcata, U.longissima, X.somloensis, and F.caperata were between 58 and 78 indicating the efficient accumulation of strontium. Lichens were also accumulated strategically important elements. Maximum contamination factors in lichens were for strontium and tantalum. Maximum contamination factors of hafnium, niobium, li ...More

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Determination of some trace elements in various lichens as biomonitors of pollution and assessment of pollution status

Ali ASLAN

Some trace elements in various lichens as biomonitors of pollution were investigated. Also, the pollution status was assessed by enrichment factor, contamination factor, and pollution load index. Investigated elements were Ta, Bi, Hf, Nb, Ga, Sc, Li, Y, Ce, and Sr. The lichen species were Rhizoplaca chrysoleuca, Umbilicaria vellea, Aspicilia calcarea, Pseudevernia furfuracea, and Cetraria islandica. According to the results, lichen species accumulate Sr element well. The highest trace element accumulated by Pseudevernia furfuracea (21.7±1.0 mg/kg; 75), Rhizoplaca chrysoleuca (31.9±1.6 mg/kg; 6 ...More

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ОСОБЕННОСТИ ВЫРАЩИВАНИЯ PAULOWNIA PAO TONG Z07

Nazgül İMANBERDİYEVA

Биологическое разнообразие и естественные экологические среды восстанавливают загрязненные и токсичные почвы. Возрастает потребность в растениях, очищающих природу и увеличивающих количество кислорода. Решением такого рода глобальной проблемы является выращивание уникального дерева Paulownia. Павловния - быстрорастущее дерево. В исследованиях мы изучили в лабораторных условиях особенности роста и развития Paulownia Pao Tong Z07 в различных экспериментальных группах. Основываясь на методе посева семян, вырастили саженцы в лабораторных условиях, которые в экспериментальных группах подвергались в ...More

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Assessment of Some Nutrient Contents and Heavy Metal Accumulation in Some Wild Edible Mushrooms in Türkiye

Ali ASLAN

In this study, it was aimed to identify mushrooms gathered from two different regions and localities of Türkiye and to determine their heavy metal and nutrient contents. Four of the mushrooms (Coprinus comatus (O.F. Müll.) Pers, Cantharellus cibarius Fr., Pleurotus ostreatus (Jacq.) P. Kumm. and Lactarius glyciosmus (Fr.) Fr.) from nearby settlements, while the others (Hydnum repandum L., Pleurotus eryngii (DC.) Quél and Lactarius delicious (L.) Gray)) were collected from rural areas. All species have known and consume by local peoples. All identified species were given along with their trophi ...More

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Chemical Characteristics and Biotechnological Potentials of Mumio

Yılmaz KAYA

Mumio is a valuable substance that ranges in color from pale brown to blackish-brown and is obtained from rock layers in various mountain ranges worldwide, particularly in the Tien Shan ranges of Kyrgyzstan. It is also a natural chemical found largely in the Himalayas, created over ages by the progressive degradation of particular plants by bacteria. Mumio is essentially a nutraceutical product with considerable human health advantages. To fully appreciate the predicted impact of mumio use in the medical area, particularly in neurological sciences, more research at both the fundamental biology ...More

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Formulas For Solutions Of The Riccati’s Equation = Формулы о рещении уравнений Риккати

Avıt ASANOV

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.- На этом работе мы получили формулу для общего решения уравнений Риккати Для общего случае мы получили решений уравнения Риккати. Полученные результаты соответствует классическими результатами.

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Solutions Of The Rational Difference Equations X(n 1)=x(n (2k 1)) /1 X(n-k) = Rasyonel Fark Denkleminin Çözümleri

Dağıstan ŞİMŞEK | Burak OĞUL

In this paper the solutions of the following difference equation is examined, x(n 1)=x(n (2k 1)) /1 x(n-k) (1) where the initial conditions are positive real numbers.

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