scholarly journals Existence and uniqueness of solutions of semilinear stochastic infinite-dimensional differential systems with H-regular noise

2007 ◽  
Vol 332 (1) ◽  
pp. 334-345 ◽  
Author(s):  
H. Schurz
Keyword(s):  
Existence And Uniqueness ◽  
Uniqueness Of Solutions ◽  
Differential Systems ◽  
Infinite Dimensional

SUCCESSIVE APPROXIMATIONS OF INFINITE DIMENSIONAL SDES WITH JUMP

2005 ◽  
Vol 05 (04) ◽  
pp. 609-619 ◽  
Author(s):  
GUILAN CAO ◽  
KAI HE ◽  
XICHENG ZHANG
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Successive Approximation ◽  
Existence And Uniqueness ◽  
Successive Approximations ◽  
Uniqueness Of Solutions ◽  
Infinite Dimensional

In this paper, we study the existence and uniqueness of solutions to non-Markovian stochastic differential equations with jump and non-Lipschitz coefficients in infinite dimensional spaces by successive approximation.

scholarly journals Fractional Singular Differential Systems of Lane–Emden Type: Existence and Uniqueness of Solutions

Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 95
Author(s):  
Yazid Gouari ◽  
Zoubir Dahmani ◽  
Shan E. Farooq ◽  
Farooq Ahmad
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Caputo Derivative ◽  
Existence And Uniqueness ◽  
Coupled System ◽  
Uniqueness Of Solutions ◽  
Differential Systems ◽  
Banach Contraction ◽  
Singular Fractional Differential Equations ◽  
Fractional Differential

A coupled system of singular fractional differential equations involving Riemann–Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.

scholarly journals Resonance and Nonresonance Periodic Value Problems of First-Order Differential Systems

2010 ◽  
Vol 2010 ◽  
pp. 1-11 ◽  
Author(s):  
Fengqin Zhang ◽  
Jurang Yan
Keyword(s):  
Nontrivial Solution ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Uniqueness Of Solutions ◽  
Differential Systems ◽  
First Order ◽  
Necessary And Sufficient

Resonance and nonresonance periodic value problems of first-order differential systems are studied. Several new existence and uniqueness of solutions for the above problems are obtained. To establish such results sufficient conditions of limit forms are given. A necessary and sufficient condition for existence of nontrivial solution is also proved.

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