• Journal of applied mathematics & informatics
• /
• v.30 no.1_2
• /
• pp.173-181
• /
• 2012

In this paper, we study the control problems governed by the semilinear parabolic type equation in Hilbert spaces. Under the Lipschitz continuity condition of the nonlinear term, we can obtain the sufficient conditions for the approximate controllability of nonlinear functional equations with nonlinear monotone hemicontinuous and coercive operator. The existence, uniqueness and a variation of solutions of the system are also given.

• Communications of the Korean Mathematical Society
• /
• v.26 no.2
• /
• pp.237-251
• /
• 2011

In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+y, z+w) + f(x-y, z-w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We dene the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-dimensional vector variable quadratic mapping implies the completeness of IFNS.

• Journal of the Chungcheong Mathematical Society
• /
• v.34 no.4
• /
• pp.355-368
• /
• 2021

In this paper, we investigate necessary and sufficient conditions for the approximate controllability for semilinear stochastic functional differential equations with delays in Hilbert spaces without the strict range condition on the controller even though the equations contain unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term.

• Journal of the Society of Disaster Information
• /
• v.14 no.2
• /
• pp.203-210
• /
• 2018

Purpose: The purpose of this study is to build a model for the meta - evaluation of the national infrastructure system and to improve the evaluation system of the national infrastructure system using the model. Method: For the study, the disaster-related laws and regulations, the evaluation report of the national infrastructure system published by the government, the guideline for the establishment of the national infrastructure protection plan, the meta-evaluation previous research data, To analyze the actual state of the evaluation. Results: Among the indices of evaluation of the current national infrastructure system, the supplementary requirements were derived from seven indicators such as appropriateness of education and training plan and implementation of disaster response, evaluation and communication with stakeholders, and evaluation committee training time. Conclusion: It is expected that the improvement plan derived from this study can be used to improve the evaluation index of the national infrastructure system.

• Journal of Chest Surgery
• /
• v.21 no.3
• /
• pp.588-593
• /
• 1988

We experienced a case of interrupted aortic arch[Type A] associated with PDA, VSD, mitral regurgitation and single coronary artery. The patient was 7 years old boy, who showed congestive heart failure[NYHA functional class III]. One stage total correction was performed under profound hypothermia with total circulatory arrest. Aortic continuity was established using PDA with anterior wall of main pulmonary artery flap. VSD was closed with Dacron patch and mitral regurgitation repaired by Reed`s annuloplasty method. The postoperative cardiac catheterization revealed no pressure gradient between ascending aorta and descending aorta, decreased pulmonary artery pressure and trivial residual shunt[Qp/Qs: 1.28]. The aortogram showed good continuity of the aorta without narrowing of the anastomotic site. During the period of 1 year follow up, heart failure symptoms were nearly subsided.

• Korean Institute of Interior Design Journal
• /
• no.32
• /
• pp.13-20
• /
• 2002

This study is purposed to find fundamental characteristics in Grassi's architecture which has architectural principles in architecture itself and in the general frame of the historical facts of architecture. His architectural theories can be explained for rationality, historicity, universality. The method of architectural composition can be divided into urban morphological characteristic and compositional characteristic of architecture. The characteristics of the former are the reconstruction of the urban structure by the readjustment of an urban axis which is based on historical continuity of the city, the open court which is a passage transformed from colonnade that is the historical vernacular type and the respect for the city-line which goes with historical context. The characteristics of the latter are the use transformed of nine square which gives consideration to centrality and typology at the same time and the hierarchic division of the principal space and the subordinate space for the functional typical purpose. This analysis shows that Grassi's architecture is on the base of historical continuity and urban reality and for him architectural work is mental work which conflict with the real world for the reconstruction of the city.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.21 no.4
• /
• pp.807-821
• /
• 1996

In this paper, we proposed a nonlinear hierarchical mtion estimation method. Generally, the conventional hierarchical motion estimation methods have been proposed for fast convergence and detection of large motions. But they have a common drawback that large error in motion estimation is propapated across motion discontinuities. This artifiact is due to the constriaint of motion continuity and the linear interpolation of motion vectors between hierarchical levels. In this paper, we propose an effective hierarchical motion estimation mechod that is robust to motion discontinuities. The proposed algorithm is based on the decomposition of the functional domain for optimizing the intra-level motion estimation functional. Also, we propose an inter-level nonlinear motion estimation equation rather than using the conventional linearprojection scheme of motion field. computer simulations with several test sequences show tht the proposed algorithm performs better than several conventional methods.

• Journal of applied mathematics & informatics
• /
• v.27 no.3_4
• /
• pp.693-702
• /
• 2009

In this paper, we introduce and study a system of mixed variational inequalities in Banach spaces. By using J-proximal mapping and its Lipschitz continuity for a nonconvex, lower semicontinuous, subdifferentiable, proper functional, an iterative algorithm for computing the approximate solutions of system of mixed variational inequalities is suggested and analyzed. The convergence criteria of the iterative sequences generated by iterative algorithm is also discussed.

• Kyungpook Mathematical Journal
• /
• v.59 no.2
• /
• pp.241-258
• /
• 2019

In this paper, we deal with the null controllability of semilinear functional integrodifferential control systems under the Lipschitz continuity of nonlinear terms. Moreover, we establish the regularity and a variation of constant formula for solutions of the given control systems in Hilbert spaces.

• Nonlinear Functional Analysis and Applications
• /
• v.26 no.5
• /
• pp.949-959
• /
• 2021

In this paper, some fixed point theorems for new type of (𝜉, 𝛽)-expansive mappings of type (S) and type (T) using control function and 𝛽-admissible function in 𝒢-metric spaces are proved. Further, we prove certain fixed point results by relaxing the continuity condition.