• Title, Summary, Keyword: periodic solutions

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PSEUDO ALMOST PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS INVOLVING REFLECTION OF THE ARGUMENT

  • Piao, Daxiong
    • Journal of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.747-754
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    • 2004
  • In this paper we investigate the existence and uniqueness of almost periodic and pseudo almost periodic solution for nonlinear differential equation with reflection of argument. For the case of almost periodic forced term, we consider the frequency modules of the solutions.

Existence of Periodic Solutions for Fuzzy Differential Equations

  • Kwun, Young-Chel;Kim, Jeong-Soon;Hwang, Jin-Soo;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.3
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    • pp.184-193
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    • 2010
  • In this paper, we investigate the existence and calculation of the expression of periodic solutions for fuzzy differential equations with three types of forcing terms, by using Hukuhara derivative. In particular, Theorems 3.2, 4.2 and 5.2 are the results of existences of periodic solutions for fuzzy differential equations I, II and III, respectively. These results will help us to study phenomena with periodic peculiarity such as wave or sound.

ALMOST PERIODIC SOLUTIONS OF LINEAR DIFFERENCE SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.2
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    • pp.153-158
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    • 2006
  • In this paper, we present an elementary proof for the existence of almost periodic solutions of linear nonhomogeneous difference systems.

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MULTIPLE PERIODIC SOLUTIONS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS ACROSS RESONANCE

  • Cai, Hua;Chang, Xiaojun;Zhao, Xin
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1433-1451
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    • 2014
  • In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.

EXISTENCE OF PERIODIC SOLUTIONS IN FERROELECTRIC LIQUID CRYSTALS

  • Park, Jinhae
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.3
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    • pp.571-588
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    • 2010
  • We introduce the Landau-de Gennes model in order to understand molecular structures in ferroelectric liquid crystals. We investigate equilibrium configurations of the governing energy functional by means of bifurcation analysis. In particular, we obtain periodic solutions of the functional, which is a signature of a rich variety of applications of ferroelectric materials.

EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS FOR SEMILINEAR PARABOLIC EQUATIONS WITH SUBLINEAR GROWTH NONLINEARITIES

  • Kim, Wan-Se
    • Journal of the Korean Mathematical Society
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    • v.46 no.4
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    • pp.691-699
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    • 2009
  • In this paper, we establish a multiple existence result of T-periodic solutions for the semilinear parabolic boundary value problem with sublinear growth nonlinearities. We adapt sub-supersolution scheme and topological argument based on variational structure of functionals.

PERIODIC SOLUTIONS OF VOLTERRA EQUATIONS

  • Choi, Sung Kyu;Koo, Namjip;Yeo, Yun Hei;Yun, ChanMi
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.401-409
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    • 2010
  • We study the existence of periodic solutions of Volterra equations by using the limiting equations and contraction mappings.