• Bulletin of the Korean Mathematical Society
• /
• v.33 no.2
• /
• pp.319-328
• /
• 1996

In [3], they deal with the free boundary problem with Pushchino dynamics. They showed the existence of solutions and the occurence of a Hopf bifurcation.

• Honam Mathematical Journal
• /
• v.26 no.4
• /
• pp.589-608
• /
• 2004

We investigate the multiplicity of the periodic solutions of the nonlinear wave equation with jumping nonlinearity. By category theory we prove that the jumping problem has at least 2k+1 solutions for the positive source term.

• Journal of the Chungcheong Mathematical Society
• /
• v.2 no.1
• /
• pp.9-14
• /
• 1989

Certain type of singular two point boundary value problem is studied. This contains a wider class of differential equations than [5]. An example is provided for comparison with earlier results.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.2
• /
• pp.337-346
• /
• 2016

Within white noise approach, we study the existence and uniqueness of the solution of an initial value problem for generalized white noise functionals, and then as a corollary we discuss the linear stochastic differential equation associated with a convolution of white noise functionals.

• Journal of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.31-38
• /
• 1996

It is well known that Dirichlet problem of the first-order Hamilton-Jacobi equations $$ (H-J) u(x) + H(\nabla u(x)) = f(x), x \in R^N, $$ does not have a classical solution even though the Hamiltonian H is smooth.

• Bulletin of the Korean Mathematical Society
• /
• v.34 no.4
• /
• pp.495-508
• /
• 1997

The problem of optimization in choosing of evasion parameters in differential games is considered. Existence of optimal parameters is proved and algorithm of their is shown. The example is cited. This work adjoins investigations [1-11].

• Communications of the Korean Mathematical Society
• /
• v.9 no.2
• /
• pp.327-329
• /
• 1994

The Dirichlet problem (DP) on the upper half plane {z = x ＋ iy : y > 0} is to find a real-valued harmonic function u(x, y) satisfying u(x, 0) = g(x) almost everywhere for some reasonably nice function g defined on the real line, which is called the data on the boundary for (DP).(omitted)

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.2
• /
• pp.303-316
• /
• 2000

The Cauchy problem for degenerate parabolic equations with absorption is studied. We prove the existence of a fundamental solution. Also a Harnack type inequality is established and the existence and uniqueness of initial trace for nonnegative solutions is shown.

• Journal of the Korean Mathematical Society
• /
• v.43 no.6
• /
• pp.1159-1167
• /
• 2006

An efficient method for reanalysis of a damaged structures is presented. Perturbation analysis for the equality constrained least squares problem is adapted to handle structural reanalysis, and related theoretical and numerical results are presented.

• Bulletin of the Korean Mathematical Society
• /
• v.55 no.5
• /
• pp.1483-1490
• /
• 2018

In this note, it is proven that the slice Bergman kernels for some axially symmetric slice domains are zero-free by a simple method.