• 충청수학회지
• /
• 제19권4호
• /
• pp.393-402
• /
• 2006

We investigate relations between multiplicity of solutions and source terms in a elliptic equation. We have a concerne with a sharp result for multiplicity of a nonlinear Laplacian differential equation.

• 대한수학회지
• /
• 제37권6호
• /
• pp.977-989
• /
• 2000

In this paper we construct a standing solitary wave solution with prescribed total electric charge to the planer Chern-Simons gauged nonlinear Schrodinger equation with an external electromagnetic field by using a variations method.

• 대한수학회보
• /
• 제39권2호
• /
• pp.225-236
• /
• 2002

By means of the method of majorant series, sufficient conditions are obtained for the existence of analytic solutions of a functional differential equation with proportional delays.

• 대한수학회보
• /
• 제35권2호
• /
• pp.387-395
• /
• 1998

In this article we prove a Harnack inequality for the positive solutions of the heat equation with Neumann boundary condition for a compact Riemannian manifold with possibly non-convex boundary.

• 대한수학회논문집
• /
• 제22권1호
• /
• pp.53-64
• /
• 2007

In this paper, we apply the generalized quasilinearization technique to a forced Duffing equation with three-point mixed nonlinear nonlocal boundary conditions and obtain sequences of upper and lower solutions converging monotonically and quadratically to the unique solution of the problem.

• 대한수학회논문집
• /
• 제15권1호
• /
• pp.45-50
• /
• 2000

The modified Hyers-Ulam-Rassias Stability Of the generalized form g(x+p) : $\phi$(x)g(x) for the Gamma functional equation shall be proved. As a consequence we obtain the stability theorems for the gamma functional equation.

• 대한수학회보
• /
• 제36권1호
• /
• pp.171-181
• /
• 1999

In this note, we will prove that the operator-valued function space integral as an operator from $L_p\;to\;L_{p'}$ (1

• 대한수학회지
• /
• 제45권3호
• /
• pp.695-698
• /
• 2008

A simple proof of the fact that the j-invariants for Weierstrass equations are invariant under birational transformations which keep the forms of Weierstrass equations is given by finding a non-trivial explicit birational transformation which sends a normalized Weierstrass equation to the same equation.

• 대한수학회보
• /
• 제51권3호
• /
• pp.681-689
• /
• 2014

In this paper, we investigate the influence of boundary dissipations on decay property of the solutions for a semilinear wave equation with damping and memory condition on the boundary using the multiplier technique.

• 대한수학회보
• /
• 제51권4호
• /
• pp.1211-1216
• /
• 2014

In this paper, we study the structure of m-quasi Einstein manifolds when there exists another distinct solution to the (${\lambda}$, n + m)-Einstein equation. In particular, we derive sufficient conditions for the non-existence of such solutions.