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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 221 - 233 (13page)
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The present paper proposes a new monotone iteration method for existence as well as approximation of the coupled solutions for a coupled periodic boundary value problem of first order ordinary nonlinear differential equations. A new hybrid coupled fixed point theorem involving the Dhage iteration principle is proved in a partially ordered normed linear space and applied to the coupled periodic boundary value problems for proving the main existence and approximation results of this paper. An algorithm for the coupled solutions is developed and it is shown that the sequences of successive approximations defined in a certain way converge monotonically to the coupled solutions of the related differential equations under some suitable mixed hybrid conditions. A numerical example is also indicated to illustrate the abstract theory developed in the paper.
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참고문헌 (14)
참고문헌 신청
B. C. Dhage / 2008 / Periodic boundary value problems of first order Caratheodory and discon-tinuous differential equations / Nonlinear Funct. Anal. & Appl. 13(2):323~352
B. C. Dhage / 2013 / Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations / Differ. Equ. Appl. 5:155~184
B. C. Dhage / 2014 / Partially condensing mappings in partially ordered normed linear spaces and applications to functional integral equations / Tamkang J. Math. 45(4):397~426
B. C. Dhage / 2015 / Nonlinear D-set-contraction mappings in partially ordered normed lin-ear spaces and applications to functional hybrid integral equations / Malaya J. Mat. 3(1):62~85
B. C. Dhage / 2015 / Operator theoretic techniques in the theory of nonlinear hybrid differen-tial equations / Nonlinear Anal. Forum 20:15~31
B. C. Dhage / 2013 / Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations / Differ. Equ. Appl. 5:155~184
B. C. Dhage / 2014 / Partially condensing mappings in partially ordered normed linear spaces and applications to functional integral equations / Tamkang J. Math. 45(4):397~426
B. C. Dhage / 2015 / Nonlinear D-set-contraction mappings in partially ordered normed lin-ear spaces and applications to functional hybrid integral equations / Malaya J. Mat. 3(1):62~85
B. C. Dhage / 2015 / Operator theoretic techniques in the theory of nonlinear hybrid differen-tial equations / Nonlinear Anal. Forum 20:15~31
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