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Research Publications and Preprints: Chris Tisdell
Click on the links to view my research articles. (Most of these are uncorrected Galley Proofs)
Kulik, Tomasia; Tisdell, Christopher C.
Volterra integral equations on time scales: Basic qualitative and quantitative results
with applications to initial value problems on unbounded domains.
Int. J. Difference Equ. (in press)
Erbe, L.; Peterson, A.; Tisdell, C. C.
Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales.
Nonlinear Anal. (in press) DOI: 10.1016/j.na.2007.08.010
Tisdell, Christopher C.; Zaidi, Atiya.
Basic qualitative and quantitative results for solutions
to nonlinear, dynamic equations on time scales
with an application to economic modelling.
Nonlinear Anal. (in press) DOI: 10.1016/j.na.2007.03.043
Dai, Qiuyi; Tisdell, C. C.
Non--degeneracy of positive solutions to homogeneous
second order differential systems and its applications. Acta Math. Sci. Ser. B Engl. Ed. (in press)
Impact - Citations: 0;
Journal MCQ (2005): 0.067
Impact - Citations: 0;
Journal MCQ Not available yet
Amster, P.; De Napoli, P.; Tisdell, C. C.
Variational methods for two resonant problems
on time scales. Int. J. Difference Equ. 2 (2007), no.1, 1--12.
Agarwal, R. P.; Thompson, H. B.; Tisdell, C. C. On the existence of multiple solutions to boundary value
problems for second order, ordinary differential equations. Dynam. Systems Appl. 16 (2007), 595--609.
Impact - Citations: 1;
Journal MCQ (2005): 0.211
Amster, P,; Tisdell, C. C.
Two classical periodic problems on time scales.
Electron. J. Differential Equations. 2007 (2007), no. 149, pp. 1--12.
Impact - Citations: 0;
Journal MCQ (2005): 0.340
Nieto, J.; Tisdell, C. C.
Existence and uniqueness of solutions to first--order systems of
nonlinear impulsive boundary--value problems with sub--, super--linear or linear growth.
Electron. J. Differential Equations. 2007 (2007), no. 105, pp. 1--14.
Impact - Citations: 0;
Journal MCQ (2005): 0.340
Agarwal, R.; O'Regan, D.; Tisdell, C. C.; Wong, P.J.Y.
Constant sign solutions of a system of Volterra integral equations. Comput. Math. Appl.
54 (2007), no. 1, 58--75.
Impact - Citations: 0;
Journal MCQ (2005): 0.166
Henderson, Johnny; Tisdell, C. C. Dynamic boundary value problems
of the second-order: Bernstein-Nagumo conditions and solvability. Nonlinear Anal. 67 (2007), 1374--1386. doi:10.1016/j.na.2006.07.023
Impact - Citations: 0;
Journal MCQ (2005): 0.386
Rachunkova, I.; Tisdell, C. C.
Existence of non-spurious solutions to
discrete Dirichlet problems with lower and upper solutions. Nonlinear Anal. 67 (2007), 1236--1245.
doi:10.1016/j.na.2006.07.010
Impact - Citations: 1;
Journal MCQ (2005): 0.386
Bohner, M.; Tisdell, C. C. Oscillation and nonoscillation of forced second order dynamic equations.
Pacific J. Math. 230 (2007), no. 1, 59--72.
Impact - Citations: 2;
Journal MCQ (2005): 0.484
Rudd, Matthew; Tisdell, C. C. On the solvability of two-point, second-order
boundary value problems. Appl. Math. Lett. 20 (2007), 824--828. doi:10.1016/j.aml.2006.08.028
Impact - Citations: 0;
Journal MCQ (2005): 0.198
Chen, J-H; Tisdell, C. C.; Yuan, R.
On the solvability of periodic boundary value problems with impulse. J. Math. Anal. Appl.
331 (2007), 902--912. doi:10.1016/j.jmaa.2006.09.021
Impact - Citations: 0;
Journal MCQ (2005): 0.467
Anderson, D. R.; Rachunkova, I; Tisdell, C. C.
Solvability of discrete Neumann boundary value problems. J. Math. Anal. Appl.
331 (2007), 736--741. doi:10.1016/j.jmaa.2006.09.002
Impact - Citations: 2;
Journal MCQ (2005): 0.467
Erbe, L.; Tisdell, C. C.; Wong, P. J. Y. On systems of boundary value problems
for differential inclusions. Acta Math. Appl. Sin. Engl. Ser. 23 (2007), no. 3, 549--556.
Impact - Citations: 0;
Journal MCQ (2005): 0.055
Anderson, D. R.; Tisdell, C. C.
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Electron. J. Differential Equations. 2007 (2007), no. 19, pp. 1--12.
Impact - Citations: 0;
Journal MCQ (2005): 0.340
Tisdell, C. C. Systems of differential inclusions in the absence of maximum principles and
growth conditions.
Discuss. Math. Differ. Incl. Control Optim. 26 (2006), 129--141.
Impact - Citations: 0;
Journal MCQ (2005): 0.214
Dai, Qiuyi; Tisdell, C. C.
Existence of solutions to first-order dynamic boundary value problems. Int. J. Difference Equ. 1 (2006), 1--17.
Impact - Citations: 1;
Journal MCQ (2005): Not available yet
Tisdell, C. C.
On first-order discrete boundary value problems. J. Difference Equ. Appl.
12 (2006), no. 12, 1213--1223. DOI: 10.1080/10236190600949790
Impact - Citations: 2;
Journal MCQ (2005): 0.482
Tisdell, C. C. Existence and uniqueness to nonlinear dynamic boundary value problems. Cubo
8 (2006), no. 3, 11--23.
Impact - Citations: 0;
Journal MCQ (2005): 0.150
Tisdell, C. C. Existence of solutions to first-order periodic boundary value problems.
J. Math. Anal. Appl. 323 (2006), no. 2, 1325--1332. doi:10.1016/j.jmaa.2005.11.047
Impact - Citations: 1;
Journal MCQ (2005): 0.467
Rachunkova, I.; Tisdell, C. C. Existence of non-spurious solutions to
discrete boundary value problems. Aust. J. Math. Anal. Appl. 3 (2006), no. 2, Art. 6, 1-9 pp. (electronic).
Impact - Citations: 3;
Journal MCQ (2005): 0.160
Tisdell, C. C.
On the solvability of nonlinear first-order boundary-value problems.
Electron. J. Differential Equations. Vol. 2006(2006), No. 80, pp. 1-8.
Impact - Citations: 0;
Journal MCQ (2005): 0.340
Davis, J. M.; Henderson, J.; Karna, B.; Sheng, Q.; Tisdell, C. C. Existence of solutions for
multipoint boundary value problems for $n$th order differential equations.
Nonlinear Stud. 13 (2006), no. 1, 15--21.
Impact - Citations: 0;
Journal MCQ (2005): 0.125
Erbe, L.; Peterson, A.; Tisdell, C. C. Monotone solutions to dynamic systems on time scales.
J. Difference Equ. Appl. 12 (2006), no. 3-4, 343--355.
Impact - Citations: 0;
Journal MCQ (2005): 0.482
Erbe, L.; Ma, Ruyun; Tisdell, C. C. On two point boundary value problems for second order differential inclusions.
Dynam. Systems Appl. 15 (2006), no. 1, 79--88.
Impact - Citations: 0;
Journal MCQ (2005): 0.211
Eloe, P.; Kaufmann, E.; Tisdell, C. C. Multiple solutions of a boundary value problem on an unbounded
domain. Dynam. Systems Appl. 15 (2006), no. 1, 53--63.
Impact - Citations: 2;
Journal MCQ (2005): 0.211
Bohner, M.; Tisdell, C. C. Second order dynamic inclusions. J. Nonlinear Math. Phys.
12 (2005), suppl. 2, 36--45.
Impact - Citations: 1;
Journal MCQ (2005): 0.184
Tisdell, C. C.; Tan L. H. On vector boundary value problems without growth restrictions.
JIPAM. J. Inequal. Pure Appl. Math. 6 (2005), no. 5, Article 137, 10 pp. (electronic).
Impact - Citations: 0;
Journal MCQ (2005): 0.184
Tisdell, C. C.; Thompson, H. B. On the existence of solutions to boundary value problems on time scales.
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.
12 (2005), no. 5, 595--606.
Impact - Citations: 2;
Journal MCQ (2005): 0.130
Eloe, P. W.; Raffoul, Y. N; Tisdell, C. C. Existence, uniqueness and constructive results for
delay differential equations. Electron. J. Differential Equations. Vol. 2005(2005), No. 121, pp. 1--11.
Impact - Citations: 1;
Journal MCQ (2005): 0.240
Ma, Ruyun.; Tisdell, C. C. Positive solutions of singular sublinear fourth-order boundary
value problems. Appl. Anal. 84 (2005), no. 12, 1199--1220.
Impact - Citations: 4;
Journal MCQ (2005): 0.258
Henderson, J.; Tisdell, C. C. Five point boundary value problems for third order differential
equations by solution matching. Math. Comput. Modelling 42 (2005), 133--137.
Impact - Citations: 1;
Journal MCQ (2005): 0.123
Erbe, L.; Peterson, A.; Tisdell, C. C. Existence of solutions to second-order
BVPs on time scales. Appl. Anal. 84 (2005), no. 10, 1069--1078.
Impact - Citations: 1;
Journal MCQ (2005): 0.258
Raffoul, Y. N.; Tisdell, C. C. Positive periodic solutions of functional discrete systems and populations models.
Adv. Difference Equ. 2005 (2005), 369--380.
Impact - Citations: 0;
Journal MCQ (2005): 0.182
Stehlik, P.; Tisdell, C. C. On boundary value problems for second-order discrete inclusions.
Boundary Value Problems 2005(2005), no. 2, 153--164.
Impact - Citations: 0;
Journal MCQ (2005): not available
Amster, P.; Rogers, C.; Tisdell, C. C. Existence of solutions to boundary value problems for dynamic systems on time
scales. J. Math. Anal. Appl. 308 (2005), no. 2, 565--577.
Impact - Citations: 3;
Journal MCQ (2005): 0.467
Hoffacker, J.; Tisdell, C. C. Stability and instability for dynamic equations on time scales.
Comput. Math. Appl. 49 (2005), no. 9-10, 1327--1334.
Impact - Citations: 6;
Journal MCQ (2005): 0.166
Henderson, Johnny; Karna, Basant; Tisdell, Christopher C.
Existence of solutions for three-point boundary value problems for second order equations.
Proc. Amer. Math. Soc.
133 (2005), no. 5, 1365--1369 (electronic).
Impact - Citations: 0;
Journal MCQ (2005): 0.412
Henderson, J.; Tisdell, C. C.; Yin, W. K. C. Uniqueness implies existence for three-point boundary
value problems for dynamic equations. Appl. Math. Lett.
17 (2004), no. 12, 1391--1395.
Impact - Citations: 0;
Journal MCQ (2004): 0.194
Tisdell, Christopher C.; Drabek, Pavel; Henderson, Johnny. Multiple solutions to dynamic equations on time scales.
Comm. Appl. Nonlinear Anal.
11 (2004), no. 4, 25--42.
Impact - Citations: 2;
Journal MCQ (2004): 0.167
Peterson, Allan C.; Tisdell, Christopher C. Boundedness and uniqueness of solutions to dynamic equations on time scales.
J. Difference Equ. Appl.
10 (2004), no. 13-15, 1295--1306.
Impact - Citations: 2;
Journal MCQ (2004): 0.555
Henderson, Johnny; Tisdell, Christopher C. Boundary data smoothness for solutions of three point
boundary value problems for second order ordinary differential equations.
Z. Anal. Anwendungen
23 (2004), no. 3, 631--640.
Impact - Citations: 0;
Journal MCQ (2004): 0.253
Peterson, A. C.; Raffoul, Y. N.; Tisdell, C. C. Three point boundary value problems on time scales.
J. Difference Equ. Appl.
10 (2004), no. 9, 843--849.
Impact - Citations: 3;
Journal MCQ (2004): 0.555
Henderson, Johnny; Peterson, Allan; Tisdell, Christopher C. On the existence and uniqueness of solutions to boundary value problems
on time scales. Adv. Difference Equ.
2004, no. 2, 93--109.
Impact - Citations: 3;
Journal MCQ (2004): not available
Amster, P.; Mariani, M. C.; Rogers, C.; Tisdell, C. C. On two-point boundary value problems in multi-ion
electrodiffusion. J. Math. Anal. Appl.
289 (2004), no. 2, 712--721.
Impact - Citations: 0;
Journal MCQ (2004): 0.464
Henderson, Johnny; Tisdell, Christopher C. Topological transversality and boundary value problems on time scales.
J. Math. Anal. Appl.
289 (2004), no. 1, 110--125.
Impact - Citations: 4;
Journal MCQ (2004): 0.464
Mawhin, J.; Tisdell, C. C. A note on the uniqueness of solutions to nonlinear, discrete, vector boundary value problems.
Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday.
Vol. 1, 2, 789--798, Kluwer Acad. Publ., Dordrecht, 2003.
Impact - Citations: 1;
Journal MCQ (2003): not applicable
Tisdell, C. C. The uniqueness of solutions to discrete, vector, two-point boundary value problems.
Appl. Math. Lett.
16 (2003), no. 8, 1321--1328.
Impact - Citations: 0;
Journal MCQ (2003): 0.193
Agarwal, R. P.; Thompson, H. B.; Tisdell, C. C. Difference equations in Banach spaces.
Advances in difference equations, IV. Comput. Math. Appl.
45 (2003), no. 6-9, 1437--1444.
Impact - Citations: 2;
Journal MCQ (2003): 0.163
Agarwal, R. P.; Thompson, H. B.; Tisdell, C. C. Three-point boundary value problems for second-order
discrete equations. Advances in difference equations, IV. Comput. Math. Appl.
45 (2003), no. 6-9, 1429--1435.
Impact - Citations: 0;
Journal MCQ (2003): 0.163
Thompson, H. B.; Tisdell, C. C. The nonexistence of spurious solutions to discrete,
two-point boundary value problems. Appl. Math. Lett. 16 (2003), no. 1, 79--84.
Impact - Citations: 3;
Journal MCQ (2003): 0.193
Thompson, H. B.; Tisdell, C. Boundary value problems for systems of difference equations associated with systems
of second-order ordinary differential equations. Appl. Math. Lett.
15 (2002), no. 6, 761--766
Impact - Citations: 3;
Journal MCQ (2002): 0.139
Drabek, Pavel; Thompson, H. Bevan; Tisdell, Christopher. Multipoint boundary value problems for discrete equations.
Comment. Math. Univ. Carolin.
42 (2001), no. 3, 459--468.
Impact - Citations: 0;
Journal MCQ (2001): 0.174
Thompson, H. B.; Tisdell, C. Three-point boundary value problems for second-order, ordinary, differential equations.
Math. Comput. Modelling
34 (2001), no. 3-4, 311--318.
Impact - Citations: 3;
Journal MCQ (2001): 0.098
Thompson, H. B.; Tisdell, Christopher. Systems of difference equations associated
with boundary value problems for second order systems of ordinary differential equations. J. Math. Anal. Appl.
248 (2000), no. 2, 333--347.
Impact - Citations: 4;
Journal MCQ (2000): 0.393
Thompson, H. B.; Tisdell, C. C. Nonlinear multipoint boundary value problems for weakly coupled systems.
Bull. Austral. Math. Soc.
60 (1999), no. 1, 45--54.
Impact - Citations: 0;
Journal MCQ (1999): not available
Return to Chris Tisdell's personal webpage.
Return to University of New South Wales School of Mathematics and Statistics.