• Journal of Family Relations
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• v.23 no.1
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• pp.139-156
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• 2018

Objectives: The purpose of this study is to examine the impact of solution- focused thinking on middle-aged married women's role adjustment and life satisfaction through positive emotions. Method: The subjects of this study is middle-aged married women who reside in an urban community in South Gyeongsang Province. As for data analysis, SPSS 22.0 and AMOS 21.0 are employed. Results: The findings of the study were as follows: First, concerning the relationships of the variables, there were significant positive correlations among all the solution-focused thinking, positive emotions, role adjustment and life satisfaction. Second, solution-focused thinking had significant direct effect on positive emotions, and role adjustment. Solution-focused thinking had significant indirect effect on role adjustment through the medium of positive emotions at the same time. Solution-focused thinking had a significant indirect effect on life satisfaction through the medium of positive emotions and role adjustment. Positive emotions had no direct effect on life satisfaction but had a significant indirect effect on it through the medium of role adjustment. Conclusions: The findings of the study conclude that solution-focused thinking exercised an indirect influence on life satisfaction through the medium of positive emotions and role adjustment made it possible to find a way to provide solution-focused counseling for clients to lead a more satisfactory life.

• Journal of applied mathematics & informatics
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• v.14 no.1_2
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• pp.51-67
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• 2004

A matrix pair $(X_0,\;Y_0)$ is called a Hermitian nonnegative-definite(respectively, positive-definite) solution to the matrix equation $GXG^*\;+\;HYH^*\;=\;C$ with unknown X and Y if $X_{0}$ and $Y_{0}$ are Hermitian nonnegative-definite (respectively, positive-definite) and satisfy $GX_0G^*\;+\;HY_0H^*\;=\;C$. Necessary and sufficient conditions for the existence of at least a Hermitian nonnegative-definite (respectively, positive-definite) solution to the matrix equation are investigated. A representation of the general Hermitian nonnegative-definite (respectively positive-definite) solution to the equation is also obtained when it has such solutions. Two presented examples show these advantages of the proposed approach.

• Journal of the Chungcheong Mathematical Society
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• v.10 no.1
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• pp.87-95
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• 1997

In general, the positive solution to biological reaction-diffusion equations is not unique. In this paper, we state the sufficient and necessary conditions of the existence of positive solutions, and give and the proof for the uniqueness of positive solutions for a certain elliptic interacting system.

• The Pure and Applied Mathematics
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• v.5 no.1
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• pp.33-44
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• 1998

This paper is concerned with the existence of mutiple positive solution of (equation omitted) with Dirichlet boundary condition.

• East Asian mathematical journal
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• v.36 no.5
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• pp.605-612
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• 2020

We establish the existence of a positive solution to a semipositone system with integral boundary condition for the large value of the parameter involved in the system. We prove our results by using sub and super solution argument.

• Journal of the Korean Mathematical Society
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• v.36 no.2
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• pp.355-367
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• 1999

We prove the existence of 2N-1 distinct ordered positive solutions of a class of semilinear elliptic Dirichlet boundary value problems on Rn when the forcing term has N distinct positive stable zeros and the coefficient function decaying to the zero at infinity.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.603-611
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• 2003

In this paper we extend the definition of K-positive definite operators from linear to Frechet differentiable operators. Under this setting, we derive from the inverse function theorem a local existence and approximation results corresponding to those of Theorems land 2 of the authors [8], in an arbitrary real Banach space. Furthermore, an asymptotically K-positive definite operator is introduced and a simplified iteration sequence which converges to the unique solution of an asymptotically K-positive definite operator equation is constructed.

• Journal of the Korean Mathematical Society
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• v.39 no.3
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• pp.439-460
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• 2002

We prove the multiplicity of ordered positive radial solutions for a semilinear elliptic problem defined on an exterior domain. The key argument is to prove the existence of the third solution in presence of two known solutions. For this, we obtain some partial results related to three solutions theorem for certain singular boundary value problems. Proof are mainly based on the upper and lower solutions method and degree theory.

• East Asian mathematical journal
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• v.40 no.1
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• pp.51-61
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• 2024

In this work, we study the existence of a positive solution for nonlinear fractional differential equation with a singular weight. For the proof, we introduce newly defined solution operator and use well-known Krasnoselski's fixed point theorem. We also give an example with a singular weight which may not be integrable.

• Journal of applied mathematics & informatics
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• v.26 no.1_2
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• pp.29-44
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• 2008

By employing the continuation theorem of coincidence degree theory, we derive a sufficient condition for the existence and attractricity of a positive periodic solution for a generalized predator-prey model with diffussion feedback controls.