• East Asian mathematical journal
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• v.40 no.1
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• pp.85-94
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• 2024

In this paper we study the existence and multiplicity of positive solutions for p-Laplacian problems with a singular weight. Proofs mainly make use of Global Continuation Theorem and Fixed Point Index argument.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.161-172
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• 2015

In this paper, we consider the chemotaxis-haptotaxis model of tumor invasion with the proliferation and tissue re-establishment term in dimensions one and two. We show the global in time existence of a unique classical solution for the the model in two dimensional spatial domain without any restrictions on the coefficients.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.75-85
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• 2011

In this paper, using the energy estimates and the bootstrap arguments, the global existence of classical solutions for a prey-predator model with non-monotonic functional response and cross-diffusion where the prey and predator both have linear density restriction is proved when the space dimension n < 10.

• Journal of applied mathematics & informatics
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• v.29 no.3_4
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• pp.901-908
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• 2011

In this paper, we establish a sharp condition of global existence for the solution of the Gross-Pitaevskii equation with an angular momentum rotational term. This condition is related to the ground state solution of some steady-state nonlinear Schrodinger equation.

• Journal of the Korean Mathematical Society
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• v.48 no.3
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• pp.513-527
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• 2011

The paper deals with the degenerate parabolic system with nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence curve. The critical Fujita curve is conjectured with the aid of some new results.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2003.05a
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• pp.1-4
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• 2003

This paper we study the existence of a global solution for the nonlinear fuzzy differential equations in E$_{N}$$^{n}$ by using the concept of fuzzy number of dimension n whose values are normal, convex, upper semicontinuous and compactly supported surface in R$^{n}$ . .

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.873-887
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• 2007

In this paper cellular neutral networks with time-varying delays and continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, some sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality techniques. The results of this paper are new and complement previously known results.

• Journal of Korea Trade
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• v.26 no.1
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• pp.33-56
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• 2022

Purpose - This paper explains how free trade agreements (FTAs) work as a building block to achieve global free trade and be better than other trade regimes. Design/methodology - This paper utilizes a trade liberalization game setup. Three countries choose a trade agreement strategy based on a given trade regime. Trade agreement is made only when all member countries agree. The paper evaluates each trade regime concerning FTAs and customs union (CU) by area size of global free trade equilibrium on the technology or demand gap between countries. Findings - FTAs make global free trade easier. In this game, there are two main reasons for failure to reach global free trade. First, a trade regime with FTAs makes non-member face difficulties in refusing trade agreements in the existence of a technology gap than a trade regime without FTAs. Also, a trade regime with FTAs causes it harder to exclude non-members in the existence of a demand gap than a trade regime with only CUs. Therefore, a trade regime with FTAs can work better in reaching global free trade. Originality/value - The concept of "implicit coordination" was used, which assumes that FTA members keep external tariffs for non-members the same as before an FTA. Without this consideration, FTA members lower their tariffs to non-members, and it makes non-member refuse free trade easier. FTA can prevent it sufficiently only with implicit coordination. This makes the trade regime with FTAs more effective to reach global free trade.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.183-194
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• 2004

In this paper, we consider a Levenberg-Marquardt method for the solution of constrained nonlinear equation problems. The global convergence is established even without requiring the existence of an accumulation point. Some numerical tests are also presented.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.543-553
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• 2008

This paper is concerned with the optimal control problem of global press for an adsorbate-induced phase transition model. That is, we show the existence of the optimal control and derive the optimality conditions. Moreover, we obtain the uniqueness of the optimal control.