• 제목/요약/키워드: fixed point alternative

검색결과 63건 처리시간 0.028초

APPROXIMATE CONTROLLABILITY OF SECOND-ORDER NONLOCAL IMPULSIVE FUNCTIONAL INTEGRO-DIFFERENTIAL SYSTEMS IN BANACH SPACES

  • Baleanu, Dumitru;Arjunan, Mani Mallika;Nagaraj, Mahalingam;Suganya, Selvaraj
    • 대한수학회보
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    • 제55권4호
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    • pp.1065-1092
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    • 2018
  • This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.

MIXED QUASI VARIATIONAL INEQUALITIES INVOLVING FOUR NONLINEAR OPERATORS

  • Pervez, Amjad;Khan, Awais Gul;Noor, Muhammad Aslam;Noor, Khalida Inayat
    • 호남수학학술지
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    • 제42권1호
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    • pp.17-35
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    • 2020
  • In this paper we introduce and consider a new class of variational inequalities with four operators. This class is called the extended general mixed quasi variational inequality. We show that the extended general mixed quasi variational inequality is equivalent to the fixed point problem. We use this alternative equivalent formulation to discuss the existence of a solution of extended general mixed quasi variational inequality and also develop several iterative methods for solving extended general mixed quasi variational inequality and its variant forms. We consider the convergence analysis of the proposed iterative methods under appropriate conditions. We also introduce a new class of resolvent equation, which is called the extended general implicit resolvent equation and establish an equivalent relation between the extended general implicit resolvent equation and the extended general mixed quasi variational inequality. Some special cases are also discussed.

도서정가제의 도서관 적용에 대한 대안 정책 의제화 과정 연구 - 정책네트워크 모형을 적용하여 - (A Study on the Agenda-Setting Process for Alternatives in Application of Fixed Book Price Policy to Libraries: Based on the Policy Network Model)

  • 허고은;김기영
    • 한국문헌정보학회지
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    • 제49권4호
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    • pp.289-315
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    • 2015
  • 도서정가제란 2003년 2월부터 시행된 출판 및 인쇄 진흥법에 따라 책을 정가에 판매토록 의무화한 제도이다. 이의 적용수준을 더욱 강화하려는 출판계의 노력에 따라 할인율을 낮추고 적용 기관 범위를 넓히는 것을 주요 골자로 한 출판문화산업 진흥법 개정안이 2014년 4월 국회 본회의를 통과하여 11월에 시행되었다. 도서관계의 관점에서는 이 개정으로 도서정가제 적용 예외 기관이었던 도서관이 적용 기관으로 변경됨에 따라 자료 구입 축소와 구입 비용 상승 등의 문제가 발생하였고, 이에 대한 대안으로 예산 확충에 대한 필요성이 인식되었다. 본 연구의 목적은 도서관계의 정책행위자들이 개정안 통과와 시행 과정에서 어떠한 입장과 역할을 하였는지 분석하는 것이다. 이를 통해 정책행위자 간의 상호작용 구조를 파악하는데 용이한 정책네트워크 모형을 적용하여 이의 유용성을 확인하고 개선점을 제안한다. 본 연구는 기존의 정책네트워크 모형 적용 연구에서 살펴보지 못했던 행위자 내부의 특성을 분석하였다는 점에서 의의가 있다.

대체연료로서 가솔린-메타놀 혼합연료에 의한 가솔린 기관성능과 배출오염물에 관한 연구 (A study on engine performances and exhaust emissions using gasoline-methanol as an alternative fuel)

  • 김희철;용기중
    • 오토저널
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    • 제3권2호
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    • pp.18-26
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    • 1981
  • The purpose of this paper is to study the possibility of practical use of gasoline-methanol mixed fuel as an alternative fuel of gasoline engines in the light of engine performances and harmful exhaust emissions as well as mixings and separations of the mixed fuels. When the methanol of 99.8% purity is mixed with super or regular gasoline available on the market today, the experimental results obtained without modifying carburetor in this study are as follows; 1.The separation ratio depends upon the gasoline-methanol mixing ratio only, regardless of fuel temperature and fuel additives for preventing separation of phase. 2.The critical absorption ratio is affected by the gasoline-methanol mixing ratio, its temperature and the quantity of fuel additives. 3.Concerning the distillation temperature, the initial point of all sorts of fuels is almost same,but 10% point and 35-60% point of mixed fuels are lower than those of gasoline only. 4.In case of throttle valve opening set, engine output using the mixed fuels is decreased compared to gasoline, but thermal efficiency is increased as a consequence of decreasing specific energy consumption. 5.In case of fixed load test, thermal efficiency is increased at low engine speed even under low part-load as well as under comparatively high part-load including full load. 6.CO and NOx emissions are reduced remarkably with the mixed fuels.

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Some Nonlinear Alternatives in Banach Algebras with Applications II

  • Dhage, B.C.
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.281-292
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    • 2005
  • In this paper a nonlinear alternative of Leray-Schauder type is proved in a Banach algebra involving three operators and it is further applied to a functional nonlinear integral equation of mixed type $$x(t)=k(t,x({\mu}(t)))+[f(t,x({\theta}(t)))]\(q(t)+{\int}_0{^{\sigma}^{(t)}}v(t,s)g(s,x({\eta}\(s)))ds\)$$ for proving the existence results in Banach algebras under generalized Lipschitz and $Carath{\acute{e}}odory$ conditions.

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THE GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION

  • Koh, Heejeong
    • 충청수학회지
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    • 제21권2호
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    • pp.165-174
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    • 2008
  • In this paper, we obtain the general solution, the generalized Hyers-Ulam-Rassias stability, and the stability by using the alternative fixed point for a cubic functional equation $4f(x+my)+4f(x-my)+m^2f(2x)=8f(x)+4m^2f(x+y)+4m^2f(x-y)$ for a positive integer $m{\geq}2$.

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다중센서를 이용한 무인자동차 제어시스템 (Automatic Automobile Control System with Multi-Sensor)

  • 한창우;최원식
    • 한국산업융합학회 논문집
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    • 제4권3호
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    • pp.339-347
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    • 2001
  • Automatic automobile has been studied as the alternative energy system and the production flow automation device recently. But this is dependent on the import production, and its position cannot be controlled free from the fixed path. It is difficult to control the automobile position because of the eccentricity of inertia monent, slip and roughness between wheel and road surface. This problems is solved for the controller to be feedbacked the data of the multi-sensor system consisting of the rotary encoder and electronic compass. The proportional Integrated controller in the modified Ziegler-Nichols method is made up with Hitachi 7034 microprocessor. To the real time control the mechanical, electrical and electronic hardware and software device is produced by myself. The RF data of automobile speed and position is supplied to the remote PC to be displayed the automobile condition. By the experinent of the forward, spin, point path planning, it is known for autombile.

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Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces

  • Mirmostafaee, Alireza Kamel
    • Kyungpook Mathematical Journal
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    • 제50권2호
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    • pp.315-327
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    • 2010
  • We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 12f(x) in non-Archimedean normed spaces. We will give an example to show that some known results in the stability of cubic functional equations in real normed spaces fail in non-Archimedean normed spaces. Finally, some applications of our results in non-Archimedean normed spaces over p-adic numbers will be exhibited.