Infinite transition solutionsWe give another proof of a theorem of Rabinowitz and Stredulinsky obtaining infinite transition solutions for an Allen–Cahn equation. Rabinowitz and Stredulinsky have constructed infinite transition solutions as locally minimal solutions, but it is still an interesting ...
Under stabilizability and detectability assumptions we prove that the unique bounded solution of the associated Riccati equation is almost periodic.doi:10.1007/BFb0043897G. Da PratoSpringer Berlin HeidelbergDa Prato G (1985) Periodic solutions of an infinite dimensional Riccati equation. In: Pr6kopa A...
Find whether the equation has one solution, no solution, or an infinite number of solutions. 1/4(2x-1)=1/2x+3/8 Find whether the equation has one solution, no solution, or an infinite number of solutions. 3x+7=-8(3/4-x) Find whether the...
To solve this type of equation, we must isolate the variable until we find its numerical value. If we obtain a numerical value, then the variable has a solution. If there is an equal between both sides of the symbol, then the equation has in...
de Nicolao, G., "Differential periodic Riccati equa- tions: a note on the existence of an infinite num- ber of periodic strong solutions", Int. J. Control 56 (1992), 985-990.G. De Nicolao, Differential periodic Riccati equations: A note on the existence of an infinite number of ...
F. N. Liman, “Infinite p-groups containing exactly p2 solutions of the equation xp=1,” Mat. Zametki,20, No. 1, 11–18 (1976). Google Scholar V. V. Limanskii, “Isomorphisms of nilpotent decompositions of groups,” Usp. Mat. Nauk,30, No. 2, 214 (1975). Google Scholar V....
The linear equation 195x -221y= 65 has an infinite number of solutions for x and y. These are given by the linear equations x=40-17n and y=35-15n, where n is any integer.7. Is there any integer that will give the values x= 20 and y= 30? Prove that your answer is correct....
For ill-posedness results for the nonlinear Schrödinger equation with initial data in modulation spaces we refer to Bhimani–Carles [3]. For further reading, we also refer to the very recent contribution [13], in which unconditional uniqueness of solutions in C([0,T],H1(Xd)) for energy ...
进一步研究了辅助方程法,给出了几种常用辅助方程的新解、B~icklund变换和解的非线性叠加公式.在此基础 上,根据m和n的不同情况,利用变换和直接积分相结合的方法,获得了K(m,n)方程与B(m,n)方程的无穷序列 新精确解.这里包括无穷序列光滑孤立子解、无穷序列尖峰孤立子解和无穷序列紧孤立子解. 关键词:辅助方程...
Let us suppose {eq}a_{1}x+b_{1}y+c = 0 {/eq} and {eq}a_{2}x+b_{2}y+d = 0 {/eq} are the two linear equations having infinite number of solutions then $$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2...