Construction of the solutions of non-linear high order differential equations

... G j with period 2n The rest a ss umpt ions f or F a n d for the characteristic roots are the same as in the first paragraph But here we consider the case when there exist the following relations ... proportional coefficients It is easily seen that with these values of q f p 5M the coefficients o f W in (2.8) are equal to zero Therefore, equating the coefficients jqp o f sin...

Ngày tải lên: 08/04/2015, 15:36

... norm on Rd In recent years, there has been an increasing interest in the study of the asymptotic behavior of the solutions of both convolution and non-convolution-type linear and nonlinear Volterra ... mh@almos.vein.hu Department Abstract In this article, we investigate the boundedness property of the solutions of linear and nonlinear discrete Volter...

Ngày tải lên: 20/06/2014, 20:20

... have periodic solutions of every odd period larger than one The results presented in this paper extend previous ones of Etheridge and Rodriguez [4] who studied the existence of periodic solutions ... Q is clearly linear, bounded, and maps onto Im(U), and that Q((I − E)x) = if and only if (I − E)x = 180 Periodic solutions of nonlinear second-order difference...

Ngày tải lên: 23/06/2014, 00:20

... studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, with three-point nonlocal fractional boundary conditions involving the fractional ... J Nieto, Existence of solutions for nonlocal boundary value problems of higherorder nonlinear fractional differential equations, ” Abstract and...

Ngày tải lên: 21/06/2014, 16:20

... solvability of nonlinear singular equations subject to different types of boundary conditions In this section, we utilize Theorem 4.1 to show the existence of solutions for periodic problems The rest of ... MSM6198959214 and by the Grant no A100190703 of the Grant Agency of the Academy of Sciences of the Czech Republic References J W Lee and D O’Regan, “Existence of solu...

Ngày tải lên: 21/06/2014, 20:20

... Applications, vol 39, no 2, pp 207–215, 2000 [7] D Bai and Y Xu, “Nontrivial solutions of boundary value problems of second-order difference equations, ” Journal of Mathematical Analysis and Applications, ... → R To prove that (1.6) has at least one solution, it suffices, according to the Leray-Schauder continuation method [3], to show that the possible solutions of the family of...

Ngày tải lên: 22/06/2014, 19:20

... 42:1353-1363 Yang Ch, Zhai Ch, Yan J: Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski ... article as: Wang et al.: Positive solutions of the three-point boundary value problem for fractional-order differential equations...

Ngày tải lên: 21/06/2014, 03:20

... existence of positive solutions of nonlinear periodic boundary value problem x x f t, x , x T , t ∈ 0, T , x x T , where f : 0, × R → R is satisfying Carath´ odory conditions e 3.1 Boundary Value ... the existence of positive solutions of 3.17 will not be guaranteed in this case Proof of Theorem 3.2 We only prove i ii can be proved by a similar method To stud...

Ngày tải lên: 21/06/2014, 11:20

... similar methods of our proof, we can show that SBVP (2.47) has the similar conclusions of Theorems 2.3–2.5 Continuous case We consider boundary value problems of system for nonlinear fourth-order ... multiplicity of positive solutions for fourth-order boundary value problems, ” Acta Mathematicae Applicatae Sinica, vol 26, no 1, pp 109–116, 2003 (Chinese) [10...

Ngày tải lên: 22/06/2014, 22:20

... linkage map (L13 and L14) of the reef-building coral A millepora A genetic linkage map (L13 and L14) of the reef-building coral A millepora Female (F) and male (M) maps are shown on the left and ... cM) and represents the first linkage map for a coral, as well as for any non-bilaterian multicellular organism The map will become the...

Ngày tải lên: 09/08/2014, 20:20

... which is a monotone positive solution of the BVP 1.3 Theorem 3.2 If H1 f ∞ < < H2 f0 , then the BVP 1.3 has at least one monotone positive solution Proof The proof is similar to that of Theorem ... x y ∈ 0, ∞ , then the BVP 1.3 has no monotone positive solution 10 Boundary Value Problems Proof Suppose on the contrary that u is a monotone positive solution...

Ngày tải lên: 21/06/2014, 11:20

... existence of a homoclinic solution for f having a linear behaviour near −∞ The proof is based on a full description of the set of all solutions of problem 1.1 , 1.10 for B < and on the existence of ... of solutions of 1.1 , 1.10 for B ∈ L0 , consists of escape solutions and of oscillatory solutions having values in L0 , L and of at least one homoclinic solution...

Ngày tải lên: 21/06/2014, 20:20

... Applications, World Scientific, New Jersey, 2006 [2] C Enache and G A Philippin, Some maximum principles for a class of elliptic boundary value problems, to appear in Mathematical Inequalities & Applications ... Philippin, Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of...

Ngày tải lên: 22/06/2014, 22:20

... j) j =g(k) The rest of the proof is similar to that of Theorem 2.2 and hence is omitted 350 On the oscillation of certain third-order difference equations Theorem 2.4 Let conditions (i)–(iv), ... contradiction to condition (2.11) This completes the proof Theorem 2.3 Let the hypotheses of Theorem 2.2 hold Then, (1.1;1) has no solutions of type B0 if one of...

Ngày tải lên: 23/06/2014, 00:20

... Lyapunov-type inequalities for a class of even-order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China ... Lyapunov-type inequalities for certain higher order differential equations J Math Anal Appl 195, 527–536 (1995) [9] Tang, XH, Zhang, M: Lyapunov inequalities and stability f...

Ngày tải lên: 20/06/2014, 21:20