References
- Alabert, A., & Ferrante, M. (2004). Linear stochastic differential algebraic equations with constant coefficients. Electronic Communications in Probability, 11, 316–335.
- Al-Hussein, A. (2002). Backward stochastic evolution equations in infinite dimensions (PhD thesis). Warwick University, UK.
- Al-Hussein, A. (2005). Strong, mild and weak solutions of backward stochastic evolution equations. Random Operators and Stochastic Equations, 13(2), 129–138.
- Barbu, V., & Favini, A. (1999). Control of degenerate differential systems. Control and Cybernetics, 28(3), 397–420.
- Bismut, J-M. (1976). Linear quadratic optimal stochastic control with random coefficients. SIAM Journal on Control and Optimization, 14(3), 419–444.
- Campbell, S.L. (1980). Singular systems of differential equations I. San Francisco, CA: Pitman.
- Campbell, S.L. (1982). Singular systems of differential equations II. San Francisco, CA: Pitman.
- Carroll, R.W., & Showalter, R.E. (1976). Singular and degenerate cauchy problems. Mathematics in science and engineering (Vol. 127). New York, NY: Academic Press.
- Dai, L. (1989). Singular control systems. Berlin: Springer Verlag.
- Da Prato, G., & Zabczyk, J. (1992). Stochastic equations in infinite dimensions (Encyclopedia of Mathematics and Its Applications, No. 45). Cambridge: Cambridge University Press.
- Engel, K.J., & Nagel, R. (2000). One-parameter semigroups for linear evolution equation. New York, NY: Springer Verlag.
- Favini, A., & Yagi, A. (1999). Degenerate differential equations in Banach spaces. New York, NY: Marcel Dekker.
- Gashi, B., & Pantelous, A.A. (2013a). Linear backward stochastic differential equations of descriptor type: Regular systems. Stochastic Analysis and Applications, 31(1), 142–166.
- Gashi, B., & Pantelous, A.A. (2013b). Linear stochastic systems of descriptor type: Theory and applications. In G. Deodatis, B.R. Ellingwood, D.M. Frangopol (Eds.), Safety, reliability, risk and life-cycle performance of structures and infrastructures: Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 (pp. 1047–1054). London, UK: CRC Press, Taylor & Francis Group.
- Gashi, B., & Pantelous, A.A. (2015). Linear backward stochastic differential systems of descriptor type with structure and applications to engineering. Probabilistic Engineering Mechanics, 40, 1–11.
- Grecksch, W., & Tudor, C. (1995). Stochastic evolution equations: A Hilbert space approach. Mathematical research 85. Berlin: Akademie Verlag.
- Hu, Y., & Peng, S. (1991). Adapted solution of a backward semilinear stochastic evolution equation. Stochastic Analysis and Applications, 9(4), 445–459.
- Kalogeropoulos, G.I., Karageorgos, A.D., & Pantelous, A.A. (2014). On the solution of higher order linear homogeneous complex descriptor matrix differential systems of Apostol-Kolodner type. Journal of The Franklin Institute, 351(3), 1756–1777.
- Kalogeropoulos, G.I., & Pantelous, A.A. (2008). On generalized regular stochastic differential-algebraic delay systems with time invariant coefficients. Stochastic Analysis and Applications, 26(5), 1076–1094.
- Kalogeropoulos, G.I., & Stratis, I.G. (1999). On generalized linear regular delay systems. Journal of Mathematical Analysis and Applications, 237(2), 505–514.
- Leontief, W. (1966). Input-output economics. New York, NY: Oxford University Press.
- Lewis, F.L. (1986). A survey of linear singular systems. Circuits, Systems and Signal Processing, 5, 3–36.
- Liaskos, K.B., Stratis, I.G., & Yannacopoulos, A.N. (2009a). A priori estimates for a singular limit approximation of the constitutive laws for chiral media in the time domain. Journal of Mathematical Analysis and Applications, 355(1), 288–302.
- Liaskos, K.B., Stratis, I.G., & Yannacopoulos, A.N. (2009b). Pseudoparabolic equations with additive noise and applications. Mathematical Methods in the Applied Sciences, 32(8), 963–985.
- Melnikova, I.V. (2001). Abstract Cauchy problem. Semigroup, distribution, and regularization methods. Journal of Mathematical Sciences, 104(2), 941–1007.
- Melnikova, I.V., Filinkov, A.I., & Anufrieva, U.A. (2002). Abstract stochastic equations I. Classical and distributional solutions. Journal of Mathematical Sciences, 111(2), 3430–3475.
- O’Connor, R., & Henry, E.W. (1975). Input-output analysis and its applications. London: Charles Griffin.
- Pazy, A. (1983). Semigroups of linear operators and applications to partial differential equations. New York, NY: Springer Verlag.
- Peng, S. (1994). Backward stochastic differential equations and exact controllability of stochastic control systems. Progress in Natural Science, 4(3), 274–284.
- Roach, G.F., Stratis, I.G., & Yannacopoulos, A.N. (2012). Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics. Princeton, NJ: Princeton University Press.
- Thaller, B. (1992). The Dirac equation. Berlin: Springer Verlag.
- Thaller, B., & Thaller, S. (1995). Approximation of degenerate Cauchy problems, Bericht No. 76 des SFB Optimierung und Kontrolle, University of Graz.
- Thaller, B., & Thaller, S. (1996). Factorization of degenerate Cauchy problems: The linear case. The Journal of Operator Theory, 36, 121–146.
- Thaller, B., & Thaller, S. (2001). Semigroup theory of degenerate linear Cauchy problems. Semigroup Forum, 62, 375–398.
- Vlasenko, L.A., & Rutkas, A.G. (2011). Stochastic impulse control of parabolic systems of Sobolev type. Differential Equations, 47(10), 1498–1507.